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Finding the Third Proportional to 311,852.53 and 424,414.69

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Solution

The third proportional to 311,852.53 and 424,414.69 is: 577,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,852.53 : 424,414.69 = 424,414.69 : x
  2. Step 2: Convert to fraction form
    311,852.53/424,414.69 = 424,414.69/x
  3. Step 3: Cross multiply
    311,852.53x = 424,414.69 × 424,414.69
  4. Step 4: Simplify right side
    311,852.53x = 180,127,826,965.72
  5. Step 5: Solve for x
    x = 180,127,826,965.72/311,852.53
  6. Step 6: Final answer
    x = 577,605.79

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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.