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Finding the Third Proportional to 251,386.13 and 351,639.56

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Solution

The third proportional to 251,386.13 and 351,639.56 is: 491,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,386.13 : 351,639.56 = 351,639.56 : x
  2. Step 2: Convert to fraction form
    251,386.13/351,639.56 = 351,639.56/x
  3. Step 3: Cross multiply
    251,386.13x = 351,639.56 × 351,639.56
  4. Step 4: Simplify right side
    251,386.13x = 123,650,381,915.19
  5. Step 5: Solve for x
    x = 123,650,381,915.19/251,386.13
  6. Step 6: Final answer
    x = 491,874.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.