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Finding the Third Proportional to 466.66 and 686.47

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Solution

The third proportional to 466.66 and 686.47 is: 1,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.66 : 686.47 = 686.47 : x
  2. Step 2: Convert to fraction form
    466.66/686.47 = 686.47/x
  3. Step 3: Cross multiply
    466.66x = 686.47 × 686.47
  4. Step 4: Simplify right side
    466.66x = 471,239.34
  5. Step 5: Solve for x
    x = 471,239.34/466.66
  6. Step 6: Final answer
    x = 1,009.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.