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Finding the Third Proportional to 512,401.50 and 729,925.88

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Solution

The third proportional to 512,401.50 and 729,925.88 is: 1,039,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,401.50 : 729,925.88 = 729,925.88 : x
  2. Step 2: Convert to fraction form
    512,401.50/729,925.88 = 729,925.88/x
  3. Step 3: Cross multiply
    512,401.50x = 729,925.88 × 729,925.88
  4. Step 4: Simplify right side
    512,401.50x = 532,791,782,994.52
  5. Step 5: Solve for x
    x = 532,791,782,994.52/512,401.50
  6. Step 6: Final answer
    x = 1,039,793.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.