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Finding the Third Proportional to 292,472 and 637,828

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Solution

The third proportional to 292,472 and 637,828 is: 1,390,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,472 : 637,828 = 637,828 : x
  2. Step 2: Convert to fraction form
    292,472/637,828 = 637,828/x
  3. Step 3: Cross multiply
    292,472x = 637,828 × 637,828
  4. Step 4: Simplify right side
    292,472x = 406,824,557,584
  5. Step 5: Solve for x
    x = 406,824,557,584/292,472
  6. Step 6: Final answer
    x = 1,390,986.34

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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.