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Finding the Third Proportional to 316,672.31 and 490,155.19

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Solution

The third proportional to 316,672.31 and 490,155.19 is: 758,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,672.31 : 490,155.19 = 490,155.19 : x
  2. Step 2: Convert to fraction form
    316,672.31/490,155.19 = 490,155.19/x
  3. Step 3: Cross multiply
    316,672.31x = 490,155.19 × 490,155.19
  4. Step 4: Simplify right side
    316,672.31x = 240,252,107,833.16
  5. Step 5: Solve for x
    x = 240,252,107,833.16/316,672.31
  6. Step 6: Final answer
    x = 758,677.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.