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Finding the Third Proportional to 312,681.20 and 517,515.96

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Solution

The third proportional to 312,681.20 and 517,515.96 is: 856,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,681.20 : 517,515.96 = 517,515.96 : x
  2. Step 2: Convert to fraction form
    312,681.20/517,515.96 = 517,515.96/x
  3. Step 3: Cross multiply
    312,681.20x = 517,515.96 × 517,515.96
  4. Step 4: Simplify right side
    312,681.20x = 267,822,769,825.06
  5. Step 5: Solve for x
    x = 267,822,769,825.06/312,681.20
  6. Step 6: Final answer
    x = 856,536.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.