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Finding the Third Proportional to 292,689 and 638,419

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Solution

The third proportional to 292,689 and 638,419 is: 1,392,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,689 : 638,419 = 638,419 : x
  2. Step 2: Convert to fraction form
    292,689/638,419 = 638,419/x
  3. Step 3: Cross multiply
    292,689x = 638,419 × 638,419
  4. Step 4: Simplify right side
    292,689x = 407,578,819,561
  5. Step 5: Solve for x
    x = 407,578,819,561/292,689
  6. Step 6: Final answer
    x = 1,392,532.07

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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.