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Finding the Third Proportional to 515,038.50 and 784,540.69

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Solution

The third proportional to 515,038.50 and 784,540.69 is: 1,195,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,038.50 : 784,540.69 = 784,540.69 : x
  2. Step 2: Convert to fraction form
    515,038.50/784,540.69 = 784,540.69/x
  3. Step 3: Cross multiply
    515,038.50x = 784,540.69 × 784,540.69
  4. Step 4: Simplify right side
    515,038.50x = 615,504,090,342.97
  5. Step 5: Solve for x
    x = 615,504,090,342.97/515,038.50
  6. Step 6: Final answer
    x = 1,195,064.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.