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Finding the Third Proportional to 508,731.75 and 787,367.25

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Solution

The third proportional to 508,731.75 and 787,367.25 is: 1,218,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,731.75 : 787,367.25 = 787,367.25 : x
  2. Step 2: Convert to fraction form
    508,731.75/787,367.25 = 787,367.25/x
  3. Step 3: Cross multiply
    508,731.75x = 787,367.25 × 787,367.25
  4. Step 4: Simplify right side
    508,731.75x = 619,947,186,372.56
  5. Step 5: Solve for x
    x = 619,947,186,372.56/508,731.75
  6. Step 6: Final answer
    x = 1,218,613.12

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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.