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Finding the Third Proportional to 292,427 and 637,738

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Solution

The third proportional to 292,427 and 637,738 is: 1,390,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,427 : 637,738 = 637,738 : x
  2. Step 2: Convert to fraction form
    292,427/637,738 = 637,738/x
  3. Step 3: Cross multiply
    292,427x = 637,738 × 637,738
  4. Step 4: Simplify right side
    292,427x = 406,709,756,644
  5. Step 5: Solve for x
    x = 406,709,756,644/292,427
  6. Step 6: Final answer
    x = 1,390,807.81

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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.