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Finding the Third Proportional to 317,775.66 and 657,546.61

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Solution

The third proportional to 317,775.66 and 657,546.61 is: 1,360,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,775.66 : 657,546.61 = 657,546.61 : x
  2. Step 2: Convert to fraction form
    317,775.66/657,546.61 = 657,546.61/x
  3. Step 3: Cross multiply
    317,775.66x = 657,546.61 × 657,546.61
  4. Step 4: Simplify right side
    317,775.66x = 432,367,543,500.56
  5. Step 5: Solve for x
    x = 432,367,543,500.56/317,775.66
  6. Step 6: Final answer
    x = 1,360,606.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.