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Finding the Third Proportional to 317,854 and 495,555

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Solution

The third proportional to 317,854 and 495,555 is: 772,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,854 : 495,555 = 495,555 : x
  2. Step 2: Convert to fraction form
    317,854/495,555 = 495,555/x
  3. Step 3: Cross multiply
    317,854x = 495,555 × 495,555
  4. Step 4: Simplify right side
    317,854x = 245,574,758,025
  5. Step 5: Solve for x
    x = 245,574,758,025/317,854
  6. Step 6: Final answer
    x = 772,602.38

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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.