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Finding the Third Proportional to 688.92 and 1,039.92

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Solution

The third proportional to 688.92 and 1,039.92 is: 1,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.92 : 1,039.92 = 1,039.92 : x
  2. Step 2: Convert to fraction form
    688.92/1,039.92 = 1,039.92/x
  3. Step 3: Cross multiply
    688.92x = 1,039.92 × 1,039.92
  4. Step 4: Simplify right side
    688.92x = 1,081,437.51
  5. Step 5: Solve for x
    x = 1,081,437.51/688.92
  6. Step 6: Final answer
    x = 1,569.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.