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Finding the Third Proportional to 642.94 and 1,387.13

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Solution

The third proportional to 642.94 and 1,387.13 is: 2,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 1,387.13 = 1,387.13 : x
  2. Step 2: Convert to fraction form
    642.94/1,387.13 = 1,387.13/x
  3. Step 3: Cross multiply
    642.94x = 1,387.13 × 1,387.13
  4. Step 4: Simplify right side
    642.94x = 1,924,115.77
  5. Step 5: Solve for x
    x = 1,924,115.77/642.94
  6. Step 6: Final answer
    x = 2,992.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.