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Finding the Third Proportional to 687,988.69 and 1,011,760.88

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Solution

The third proportional to 687,988.69 and 1,011,760.88 is: 1,487,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,988.69 : 1,011,760.88 = 1,011,760.88 : x
  2. Step 2: Convert to fraction form
    687,988.69/1,011,760.88 = 1,011,760.88/x
  3. Step 3: Cross multiply
    687,988.69x = 1,011,760.88 × 1,011,760.88
  4. Step 4: Simplify right side
    687,988.69x = 1,023,660,068,180.77
  5. Step 5: Solve for x
    x = 1,023,660,068,180.77/687,988.69
  6. Step 6: Final answer
    x = 1,487,902.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.