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Finding the Third Proportional to 512.58 and 1,178.93

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Solution

The third proportional to 512.58 and 1,178.93 is: 2,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 1,178.93 = 1,178.93 : x
  2. Step 2: Convert to fraction form
    512.58/1,178.93 = 1,178.93/x
  3. Step 3: Cross multiply
    512.58x = 1,178.93 × 1,178.93
  4. Step 4: Simplify right side
    512.58x = 1,389,875.21
  5. Step 5: Solve for x
    x = 1,389,875.21/512.58
  6. Step 6: Final answer
    x = 2,711.54

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.