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Finding the Third Proportional to 709.31 and 1,040.06

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Solution

The third proportional to 709.31 and 1,040.06 is: 1,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.31 : 1,040.06 = 1,040.06 : x
  2. Step 2: Convert to fraction form
    709.31/1,040.06 = 1,040.06/x
  3. Step 3: Cross multiply
    709.31x = 1,040.06 × 1,040.06
  4. Step 4: Simplify right side
    709.31x = 1,081,730.00
  5. Step 5: Solve for x
    x = 1,081,730.00/709.31
  6. Step 6: Final answer
    x = 1,525.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.