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Finding the Third Proportional to 292,476 and 637,836

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Solution

The third proportional to 292,476 and 637,836 is: 1,391,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,476 : 637,836 = 637,836 : x
  2. Step 2: Convert to fraction form
    292,476/637,836 = 637,836/x
  3. Step 3: Cross multiply
    292,476x = 637,836 × 637,836
  4. Step 4: Simplify right side
    292,476x = 406,834,762,896
  5. Step 5: Solve for x
    x = 406,834,762,896/292,476
  6. Step 6: Final answer
    x = 1,391,002.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.