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Finding the Third Proportional to 513,728.58 and 730,218.80

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Solution

The third proportional to 513,728.58 and 730,218.80 is: 1,037,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,728.58 : 730,218.80 = 730,218.80 : x
  2. Step 2: Convert to fraction form
    513,728.58/730,218.80 = 730,218.80/x
  3. Step 3: Cross multiply
    513,728.58x = 730,218.80 × 730,218.80
  4. Step 4: Simplify right side
    513,728.58x = 533,219,491,309.57
  5. Step 5: Solve for x
    x = 533,219,491,309.57/513,728.58
  6. Step 6: Final answer
    x = 1,037,940.10

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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.