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Finding the Third Proportional to 100,404 and 155,550

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Solution

The third proportional to 100,404 and 155,550 is: 240,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404 : 155,550 = 155,550 : x
  2. Step 2: Convert to fraction form
    100,404/155,550 = 155,550/x
  3. Step 3: Cross multiply
    100,404x = 155,550 × 155,550
  4. Step 4: Simplify right side
    100,404x = 24,195,802,500
  5. Step 5: Solve for x
    x = 24,195,802,500/100,404
  6. Step 6: Final answer
    x = 240,984.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.