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Finding the Third Proportional to 207,320 and 317,532

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Solution

The third proportional to 207,320 and 317,532 is: 486,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,320 : 317,532 = 317,532 : x
  2. Step 2: Convert to fraction form
    207,320/317,532 = 317,532/x
  3. Step 3: Cross multiply
    207,320x = 317,532 × 317,532
  4. Step 4: Simplify right side
    207,320x = 100,826,571,024
  5. Step 5: Solve for x
    x = 100,826,571,024/207,320
  6. Step 6: Final answer
    x = 486,333.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.