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Finding the Third Proportional to 508,712.63 and 809,769.38

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Solution

The third proportional to 508,712.63 and 809,769.38 is: 1,288,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,712.63 : 809,769.38 = 809,769.38 : x
  2. Step 2: Convert to fraction form
    508,712.63/809,769.38 = 809,769.38/x
  3. Step 3: Cross multiply
    508,712.63x = 809,769.38 × 809,769.38
  4. Step 4: Simplify right side
    508,712.63x = 655,726,440,687.89
  5. Step 5: Solve for x
    x = 655,726,440,687.89/508,712.63
  6. Step 6: Final answer
    x = 1,288,991.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.