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Finding the Third Proportional to 292,420 and 637,724

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Solution

The third proportional to 292,420 and 637,724 is: 1,390,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,420 : 637,724 = 637,724 : x
  2. Step 2: Convert to fraction form
    292,420/637,724 = 637,724/x
  3. Step 3: Cross multiply
    292,420x = 637,724 × 637,724
  4. Step 4: Simplify right side
    292,420x = 406,691,900,176
  5. Step 5: Solve for x
    x = 406,691,900,176/292,420
  6. Step 6: Final answer
    x = 1,390,780.04

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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.