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Finding the Third Proportional to 318,159.75 and 686,141.25

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Solution

The third proportional to 318,159.75 and 686,141.25 is: 1,479,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,159.75 : 686,141.25 = 686,141.25 : x
  2. Step 2: Convert to fraction form
    318,159.75/686,141.25 = 686,141.25/x
  3. Step 3: Cross multiply
    318,159.75x = 686,141.25 × 686,141.25
  4. Step 4: Simplify right side
    318,159.75x = 470,789,814,951.56
  5. Step 5: Solve for x
    x = 470,789,814,951.56/318,159.75
  6. Step 6: Final answer
    x = 1,479,727.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.