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Finding the Third Proportional to 510.68 and 866.64

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Solution

The third proportional to 510.68 and 866.64 is: 1,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.68 : 866.64 = 866.64 : x
  2. Step 2: Convert to fraction form
    510.68/866.64 = 866.64/x
  3. Step 3: Cross multiply
    510.68x = 866.64 × 866.64
  4. Step 4: Simplify right side
    510.68x = 751,059.20
  5. Step 5: Solve for x
    x = 751,059.20/510.68
  6. Step 6: Final answer
    x = 1,470.71

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.