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Finding the Third Proportional to 316,971 and 648,517

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Solution

The third proportional to 316,971 and 648,517 is: 1,326,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,971 : 648,517 = 648,517 : x
  2. Step 2: Convert to fraction form
    316,971/648,517 = 648,517/x
  3. Step 3: Cross multiply
    316,971x = 648,517 × 648,517
  4. Step 4: Simplify right side
    316,971x = 420,574,299,289
  5. Step 5: Solve for x
    x = 420,574,299,289/316,971
  6. Step 6: Final answer
    x = 1,326,854.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.