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Finding the Third Proportional to 629.16 and 1,039.92

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Solution

The third proportional to 629.16 and 1,039.92 is: 1,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.16 : 1,039.92 = 1,039.92 : x
  2. Step 2: Convert to fraction form
    629.16/1,039.92 = 1,039.92/x
  3. Step 3: Cross multiply
    629.16x = 1,039.92 × 1,039.92
  4. Step 4: Simplify right side
    629.16x = 1,081,437.51
  5. Step 5: Solve for x
    x = 1,081,437.51/629.16
  6. Step 6: Final answer
    x = 1,718.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.