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Finding the Third Proportional to 284,420 and 658,440

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Solution

The third proportional to 284,420 and 658,440 is: 1,524,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,420 : 658,440 = 658,440 : x
  2. Step 2: Convert to fraction form
    284,420/658,440 = 658,440/x
  3. Step 3: Cross multiply
    284,420x = 658,440 × 658,440
  4. Step 4: Simplify right side
    284,420x = 433,543,233,600
  5. Step 5: Solve for x
    x = 433,543,233,600/284,420
  6. Step 6: Final answer
    x = 1,524,306.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.