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Finding the Third Proportional to 317,508 and 431,210

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Solution

The third proportional to 317,508 and 431,210 is: 585,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,508 : 431,210 = 431,210 : x
  2. Step 2: Convert to fraction form
    317,508/431,210 = 431,210/x
  3. Step 3: Cross multiply
    317,508x = 431,210 × 431,210
  4. Step 4: Simplify right side
    317,508x = 185,942,064,100
  5. Step 5: Solve for x
    x = 185,942,064,100/317,508
  6. Step 6: Final answer
    x = 585,629.54

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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.