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Finding the Third Proportional to 100,420,727.81 and 155,108,092.31

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Solution

The third proportional to 100,420,727.81 and 155,108,092.31 is: 239,577,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420,727.81 : 155,108,092.31 = 155,108,092.31 : x
  2. Step 2: Convert to fraction form
    100,420,727.81/155,108,092.31 = 155,108,092.31/x
  3. Step 3: Cross multiply
    100,420,727.81x = 155,108,092.31 × 155,108,092.31
  4. Step 4: Simplify right side
    100,420,727.81x = 24,058,520,300,823,020
  5. Step 5: Solve for x
    x = 24,058,520,300,823,020/100,420,727.81
  6. Step 6: Final answer
    x = 239,577,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.