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Finding the Third Proportional to 317,781 and 495,423

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Solution

The third proportional to 317,781 and 495,423 is: 772,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,781 : 495,423 = 495,423 : x
  2. Step 2: Convert to fraction form
    317,781/495,423 = 495,423/x
  3. Step 3: Cross multiply
    317,781x = 495,423 × 495,423
  4. Step 4: Simplify right side
    317,781x = 245,443,948,929
  5. Step 5: Solve for x
    x = 245,443,948,929/317,781
  6. Step 6: Final answer
    x = 772,368.23

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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.