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Finding the Third Proportional to 292,302 and 641,499

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Solution

The third proportional to 292,302 and 641,499 is: 1,407,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,302 : 641,499 = 641,499 : x
  2. Step 2: Convert to fraction form
    292,302/641,499 = 641,499/x
  3. Step 3: Cross multiply
    292,302x = 641,499 × 641,499
  4. Step 4: Simplify right side
    292,302x = 411,520,967,001
  5. Step 5: Solve for x
    x = 411,520,967,001/292,302
  6. Step 6: Final answer
    x = 1,407,862.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.