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Finding the Third Proportional to 508,377.09 and 787,672.69

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Solution

The third proportional to 508,377.09 and 787,672.69 is: 1,220,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,377.09 : 787,672.69 = 787,672.69 : x
  2. Step 2: Convert to fraction form
    508,377.09/787,672.69 = 787,672.69/x
  3. Step 3: Cross multiply
    508,377.09x = 787,672.69 × 787,672.69
  4. Step 4: Simplify right side
    508,377.09x = 620,428,262,633.47
  5. Step 5: Solve for x
    x = 620,428,262,633.47/508,377.09
  6. Step 6: Final answer
    x = 1,220,409.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.