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Finding the Third Proportional to 317,950.31 and 691,122.38

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Solution

The third proportional to 317,950.31 and 691,122.38 is: 1,502,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,950.31 : 691,122.38 = 691,122.38 : x
  2. Step 2: Convert to fraction form
    317,950.31/691,122.38 = 691,122.38/x
  3. Step 3: Cross multiply
    317,950.31x = 691,122.38 × 691,122.38
  4. Step 4: Simplify right side
    317,950.31x = 477,650,137,225.64
  5. Step 5: Solve for x
    x = 477,650,137,225.64/317,950.31
  6. Step 6: Final answer
    x = 1,502,279.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.