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Finding the Third Proportional to 242,130,853,531 and 520,194,705,158

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Solution

The third proportional to 242,130,853,531 and 520,194,705,158 is: 1,117,587,979,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,130,853,531 : 520,194,705,158 = 520,194,705,158 : x
  2. Step 2: Convert to fraction form
    242,130,853,531/520,194,705,158 = 520,194,705,158/x
  3. Step 3: Cross multiply
    242,130,853,531x = 520,194,705,158 × 520,194,705,158
  4. Step 4: Simplify right side
    242,130,853,531x = 270,602,531,274,418,552,832,000
  5. Step 5: Solve for x
    x = 270,602,531,274,418,552,832,000/242,130,853,531
  6. Step 6: Final answer
    x = 1,117,587,979,095.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.