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Finding the Third Proportional to 556.24 and 868.06

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Solution

The third proportional to 556.24 and 868.06 is: 1,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.24 : 868.06 = 868.06 : x
  2. Step 2: Convert to fraction form
    556.24/868.06 = 868.06/x
  3. Step 3: Cross multiply
    556.24x = 868.06 × 868.06
  4. Step 4: Simplify right side
    556.24x = 753,529.11
  5. Step 5: Solve for x
    x = 753,529.11/556.24
  6. Step 6: Final answer
    x = 1,354.68

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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.