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Finding the Third Proportional to 261,792 and 402,624

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Solution

The third proportional to 261,792 and 402,624 is: 619,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,792 : 402,624 = 402,624 : x
  2. Step 2: Convert to fraction form
    261,792/402,624 = 402,624/x
  3. Step 3: Cross multiply
    261,792x = 402,624 × 402,624
  4. Step 4: Simplify right side
    261,792x = 162,106,085,376
  5. Step 5: Solve for x
    x = 162,106,085,376/261,792
  6. Step 6: Final answer
    x = 619,217.11

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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.