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Finding the Third Proportional to 100,420,732 and 155,108,100

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Solution

The third proportional to 100,420,732 and 155,108,100 is: 239,577,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420,732 : 155,108,100 = 155,108,100 : x
  2. Step 2: Convert to fraction form
    100,420,732/155,108,100 = 155,108,100/x
  3. Step 3: Cross multiply
    100,420,732x = 155,108,100 × 155,108,100
  4. Step 4: Simplify right side
    100,420,732x = 24,058,522,685,610,000
  5. Step 5: Solve for x
    x = 24,058,522,685,610,000/100,420,732
  6. Step 6: Final answer
    x = 239,577,248.71

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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.