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Finding the Third Proportional to 52,325,039,520 and 114,780,319,776

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Solution

The third proportional to 52,325,039,520 and 114,780,319,776 is: 251,782,357,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,325,039,520 : 114,780,319,776 = 114,780,319,776 : x
  2. Step 2: Convert to fraction form
    52,325,039,520/114,780,319,776 = 114,780,319,776/x
  3. Step 3: Cross multiply
    52,325,039,520x = 114,780,319,776 × 114,780,319,776
  4. Step 4: Simplify right side
    52,325,039,520x = 13,174,521,807,880,815,902,720
  5. Step 5: Solve for x
    x = 13,174,521,807,880,815,902,720/52,325,039,520
  6. Step 6: Final answer
    x = 251,782,357,523.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.