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Finding the Third Proportional to 556.13 and 1,306.88

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Solution

The third proportional to 556.13 and 1,306.88 is: 3,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.13 : 1,306.88 = 1,306.88 : x
  2. Step 2: Convert to fraction form
    556.13/1,306.88 = 1,306.88/x
  3. Step 3: Cross multiply
    556.13x = 1,306.88 × 1,306.88
  4. Step 4: Simplify right side
    556.13x = 1,707,922.27
  5. Step 5: Solve for x
    x = 1,707,922.27/556.13
  6. Step 6: Final answer
    x = 3,071.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.