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Finding the Third Proportional to 512,400.50 and 729,924

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Solution

The third proportional to 512,400.50 and 729,924 is: 1,039,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,400.50 : 729,924 = 729,924 : x
  2. Step 2: Convert to fraction form
    512,400.50/729,924 = 729,924/x
  3. Step 3: Cross multiply
    512,400.50x = 729,924 × 729,924
  4. Step 4: Simplify right side
    512,400.50x = 532,789,045,776
  5. Step 5: Solve for x
    x = 532,789,045,776/512,400.50
  6. Step 6: Final answer
    x = 1,039,790.25

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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.