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Finding the Third Proportional to 292,650 and 638,479

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Solution

The third proportional to 292,650 and 638,479 is: 1,392,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,650 : 638,479 = 638,479 : x
  2. Step 2: Convert to fraction form
    292,650/638,479 = 638,479/x
  3. Step 3: Cross multiply
    292,650x = 638,479 × 638,479
  4. Step 4: Simplify right side
    292,650x = 407,655,433,441
  5. Step 5: Solve for x
    x = 407,655,433,441/292,650
  6. Step 6: Final answer
    x = 1,392,979.44

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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.