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Finding the Third Proportional to 708 and 1,005.75

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Solution

The third proportional to 708 and 1,005.75 is: 1,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 1,005.75 = 1,005.75 : x
  2. Step 2: Convert to fraction form
    708/1,005.75 = 1,005.75/x
  3. Step 3: Cross multiply
    708x = 1,005.75 × 1,005.75
  4. Step 4: Simplify right side
    708x = 1,011,533.06
  5. Step 5: Solve for x
    x = 1,011,533.06/708
  6. Step 6: Final answer
    x = 1,428.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.