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Finding the Third Proportional to 672.30 and 1,447.62

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Solution

The third proportional to 672.30 and 1,447.62 is: 3,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.30 : 1,447.62 = 1,447.62 : x
  2. Step 2: Convert to fraction form
    672.30/1,447.62 = 1,447.62/x
  3. Step 3: Cross multiply
    672.30x = 1,447.62 × 1,447.62
  4. Step 4: Simplify right side
    672.30x = 2,095,595.52
  5. Step 5: Solve for x
    x = 2,095,595.52/672.30
  6. Step 6: Final answer
    x = 3,117.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.