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Finding the Third Proportional to 155,440 and 232,402

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Solution

The third proportional to 155,440 and 232,402 is: 347,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,440 : 232,402 = 232,402 : x
  2. Step 2: Convert to fraction form
    155,440/232,402 = 232,402/x
  3. Step 3: Cross multiply
    155,440x = 232,402 × 232,402
  4. Step 4: Simplify right side
    155,440x = 54,010,689,604
  5. Step 5: Solve for x
    x = 54,010,689,604/155,440
  6. Step 6: Final answer
    x = 347,469.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.