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Finding the Third Proportional to 686,659.50 and 1,491,534

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Solution

The third proportional to 686,659.50 and 1,491,534 is: 3,239,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,659.50 : 1,491,534 = 1,491,534 : x
  2. Step 2: Convert to fraction form
    686,659.50/1,491,534 = 1,491,534/x
  3. Step 3: Cross multiply
    686,659.50x = 1,491,534 × 1,491,534
  4. Step 4: Simplify right side
    686,659.50x = 2,224,673,673,156
  5. Step 5: Solve for x
    x = 2,224,673,673,156/686,659.50
  6. Step 6: Final answer
    x = 3,239,849.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.