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Finding the Third Proportional to 292,436 and 637,756

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Solution

The third proportional to 292,436 and 637,756 is: 1,390,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,436 : 637,756 = 637,756 : x
  2. Step 2: Convert to fraction form
    292,436/637,756 = 637,756/x
  3. Step 3: Cross multiply
    292,436x = 637,756 × 637,756
  4. Step 4: Simplify right side
    292,436x = 406,732,715,536
  5. Step 5: Solve for x
    x = 406,732,715,536/292,436
  6. Step 6: Final answer
    x = 1,390,843.52

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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.