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Finding the Third Proportional to 747.42 and 914.06

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Solution

The third proportional to 747.42 and 914.06 is: 1,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.42 : 914.06 = 914.06 : x
  2. Step 2: Convert to fraction form
    747.42/914.06 = 914.06/x
  3. Step 3: Cross multiply
    747.42x = 914.06 × 914.06
  4. Step 4: Simplify right side
    747.42x = 835,510.25
  5. Step 5: Solve for x
    x = 835,510.25/747.42
  6. Step 6: Final answer
    x = 1,117.86

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.