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Finding the Third Proportional to 292,442 and 637,772

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Solution

The third proportional to 292,442 and 637,772 is: 1,390,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,442 : 637,772 = 637,772 : x
  2. Step 2: Convert to fraction form
    292,442/637,772 = 637,772/x
  3. Step 3: Cross multiply
    292,442x = 637,772 × 637,772
  4. Step 4: Simplify right side
    292,442x = 406,753,123,984
  5. Step 5: Solve for x
    x = 406,753,123,984/292,442
  6. Step 6: Final answer
    x = 1,390,884.77

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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.