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Finding the Third Proportional to 100,442 and 155,415

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Solution

The third proportional to 100,442 and 155,415 is: 240,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442 : 155,415 = 155,415 : x
  2. Step 2: Convert to fraction form
    100,442/155,415 = 155,415/x
  3. Step 3: Cross multiply
    100,442x = 155,415 × 155,415
  4. Step 4: Simplify right side
    100,442x = 24,153,822,225
  5. Step 5: Solve for x
    x = 24,153,822,225/100,442
  6. Step 6: Final answer
    x = 240,475.32

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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.