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Finding the Third Proportional to 556.03 and 891.42

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Solution

The third proportional to 556.03 and 891.42 is: 1,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.03 : 891.42 = 891.42 : x
  2. Step 2: Convert to fraction form
    556.03/891.42 = 891.42/x
  3. Step 3: Cross multiply
    556.03x = 891.42 × 891.42
  4. Step 4: Simplify right side
    556.03x = 794,632.96
  5. Step 5: Solve for x
    x = 794,632.96/556.03
  6. Step 6: Final answer
    x = 1,429.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.