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Finding the Third Proportional to 317,128 and 434,872

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Solution

The third proportional to 317,128 and 434,872 is: 596,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,128 : 434,872 = 434,872 : x
  2. Step 2: Convert to fraction form
    317,128/434,872 = 434,872/x
  3. Step 3: Cross multiply
    317,128x = 434,872 × 434,872
  4. Step 4: Simplify right side
    317,128x = 189,113,656,384
  5. Step 5: Solve for x
    x = 189,113,656,384/317,128
  6. Step 6: Final answer
    x = 596,332.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.