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Finding the Third Proportional to 424,962 and 915,498

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Solution

The third proportional to 424,962 and 915,498 is: 1,972,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,962 : 915,498 = 915,498 : x
  2. Step 2: Convert to fraction form
    424,962/915,498 = 915,498/x
  3. Step 3: Cross multiply
    424,962x = 915,498 × 915,498
  4. Step 4: Simplify right side
    424,962x = 838,136,588,004
  5. Step 5: Solve for x
    x = 838,136,588,004/424,962
  6. Step 6: Final answer
    x = 1,972,262.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.