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Finding the Third Proportional to 316,972 and 648,519

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Solution

The third proportional to 316,972 and 648,519 is: 1,326,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,972 : 648,519 = 648,519 : x
  2. Step 2: Convert to fraction form
    316,972/648,519 = 648,519/x
  3. Step 3: Cross multiply
    316,972x = 648,519 × 648,519
  4. Step 4: Simplify right side
    316,972x = 420,576,893,361
  5. Step 5: Solve for x
    x = 420,576,893,361/316,972
  6. Step 6: Final answer
    x = 1,326,858.19

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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.