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Finding the Third Proportional to 109,657,980 and 238,223,142

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Solution

The third proportional to 109,657,980 and 238,223,142 is: 517,520,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657,980 : 238,223,142 = 238,223,142 : x
  2. Step 2: Convert to fraction form
    109,657,980/238,223,142 = 238,223,142/x
  3. Step 3: Cross multiply
    109,657,980x = 238,223,142 × 238,223,142
  4. Step 4: Simplify right side
    109,657,980x = 56,750,265,384,352,160
  5. Step 5: Solve for x
    x = 56,750,265,384,352,160/109,657,980
  6. Step 6: Final answer
    x = 517,520,616.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.