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Finding the Third Proportional to 543,013.88 and 813,472.88

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Solution

The third proportional to 543,013.88 and 813,472.88 is: 1,218,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,013.88 : 813,472.88 = 813,472.88 : x
  2. Step 2: Convert to fraction form
    543,013.88/813,472.88 = 813,472.88/x
  3. Step 3: Cross multiply
    543,013.88x = 813,472.88 × 813,472.88
  4. Step 4: Simplify right side
    543,013.88x = 661,738,118,360.77
  5. Step 5: Solve for x
    x = 661,738,118,360.77/543,013.88
  6. Step 6: Final answer
    x = 1,218,639.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.