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Finding the Third Proportional to 829.30 and 1,175.45

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Solution

The third proportional to 829.30 and 1,175.45 is: 1,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.30 : 1,175.45 = 1,175.45 : x
  2. Step 2: Convert to fraction form
    829.30/1,175.45 = 1,175.45/x
  3. Step 3: Cross multiply
    829.30x = 1,175.45 × 1,175.45
  4. Step 4: Simplify right side
    829.30x = 1,381,680.87
  5. Step 5: Solve for x
    x = 1,381,680.87/829.30
  6. Step 6: Final answer
    x = 1,666.08

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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.