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Finding the Third Proportional to 557.13 and 866.13

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Solution

The third proportional to 557.13 and 866.13 is: 1,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.13 : 866.13 = 866.13 : x
  2. Step 2: Convert to fraction form
    557.13/866.13 = 866.13/x
  3. Step 3: Cross multiply
    557.13x = 866.13 × 866.13
  4. Step 4: Simplify right side
    557.13x = 750,172.52
  5. Step 5: Solve for x
    x = 750,172.52/557.13
  6. Step 6: Final answer
    x = 1,346.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.