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Finding the Third Proportional to 316,854 and 648,468

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Solution

The third proportional to 316,854 and 648,468 is: 1,327,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,854 : 648,468 = 648,468 : x
  2. Step 2: Convert to fraction form
    316,854/648,468 = 648,468/x
  3. Step 3: Cross multiply
    316,854x = 648,468 × 648,468
  4. Step 4: Simplify right side
    316,854x = 420,510,747,024
  5. Step 5: Solve for x
    x = 420,510,747,024/316,854
  6. Step 6: Final answer
    x = 1,327,143.56

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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.