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Finding the Third Proportional to 708.50 and 1,508.13

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Solution

The third proportional to 708.50 and 1,508.13 is: 3,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.50 : 1,508.13 = 1,508.13 : x
  2. Step 2: Convert to fraction form
    708.50/1,508.13 = 1,508.13/x
  3. Step 3: Cross multiply
    708.50x = 1,508.13 × 1,508.13
  4. Step 4: Simplify right side
    708.50x = 2,274,441.02
  5. Step 5: Solve for x
    x = 2,274,441.02/708.50
  6. Step 6: Final answer
    x = 3,210.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.