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Finding the Third Proportional to 81,807,414 and 130,234,565

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Solution

The third proportional to 81,807,414 and 130,234,565 is: 207,328,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807,414 : 130,234,565 = 130,234,565 : x
  2. Step 2: Convert to fraction form
    81,807,414/130,234,565 = 130,234,565/x
  3. Step 3: Cross multiply
    81,807,414x = 130,234,565 × 130,234,565
  4. Step 4: Simplify right side
    81,807,414x = 16,961,041,920,739,224
  5. Step 5: Solve for x
    x = 16,961,041,920,739,224/81,807,414
  6. Step 6: Final answer
    x = 207,328,909.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.