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Finding the Third Proportional to 718.68 and 1,129.27

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Solution

The third proportional to 718.68 and 1,129.27 is: 1,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.68 : 1,129.27 = 1,129.27 : x
  2. Step 2: Convert to fraction form
    718.68/1,129.27 = 1,129.27/x
  3. Step 3: Cross multiply
    718.68x = 1,129.27 × 1,129.27
  4. Step 4: Simplify right side
    718.68x = 1,275,259.05
  5. Step 5: Solve for x
    x = 1,275,259.05/718.68
  6. Step 6: Final answer
    x = 1,774.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.