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Finding the Third Proportional to 678,655.13 and 949,240.69

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Solution

The third proportional to 678,655.13 and 949,240.69 is: 1,327,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,655.13 : 949,240.69 = 949,240.69 : x
  2. Step 2: Convert to fraction form
    678,655.13/949,240.69 = 949,240.69/x
  3. Step 3: Cross multiply
    678,655.13x = 949,240.69 × 949,240.69
  4. Step 4: Simplify right side
    678,655.13x = 901,057,882,805.47
  5. Step 5: Solve for x
    x = 901,057,882,805.47/678,655.13
  6. Step 6: Final answer
    x = 1,327,711.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.