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Finding the Third Proportional to 557.30 and 866.74

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Solution

The third proportional to 557.30 and 866.74 is: 1,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 866.74 = 866.74 : x
  2. Step 2: Convert to fraction form
    557.30/866.74 = 866.74/x
  3. Step 3: Cross multiply
    557.30x = 866.74 × 866.74
  4. Step 4: Simplify right side
    557.30x = 751,242.02
  5. Step 5: Solve for x
    x = 751,242.02/557.30
  6. Step 6: Final answer
    x = 1,348.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.