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Finding the Third Proportional to 317,140 and 431,970

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Solution

The third proportional to 317,140 and 431,970 is: 588,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,140 : 431,970 = 431,970 : x
  2. Step 2: Convert to fraction form
    317,140/431,970 = 431,970/x
  3. Step 3: Cross multiply
    317,140x = 431,970 × 431,970
  4. Step 4: Simplify right side
    317,140x = 186,598,080,900
  5. Step 5: Solve for x
    x = 186,598,080,900/317,140
  6. Step 6: Final answer
    x = 588,377.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.