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Finding the Third Proportional to 317,763 and 495,396

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Solution

The third proportional to 317,763 and 495,396 is: 772,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,763 : 495,396 = 495,396 : x
  2. Step 2: Convert to fraction form
    317,763/495,396 = 495,396/x
  3. Step 3: Cross multiply
    317,763x = 495,396 × 495,396
  4. Step 4: Simplify right side
    317,763x = 245,417,196,816
  5. Step 5: Solve for x
    x = 245,417,196,816/317,763
  6. Step 6: Final answer
    x = 772,327.79

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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.