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Finding the Third Proportional to 317,716 and 495,331

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Solution

The third proportional to 317,716 and 495,331 is: 772,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,716 : 495,331 = 495,331 : x
  2. Step 2: Convert to fraction form
    317,716/495,331 = 495,331/x
  3. Step 3: Cross multiply
    317,716x = 495,331 × 495,331
  4. Step 4: Simplify right side
    317,716x = 245,352,799,561
  5. Step 5: Solve for x
    x = 245,352,799,561/317,716
  6. Step 6: Final answer
    x = 772,239.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.