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Finding the Third Proportional to 642.52 and 1,390.92

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Solution

The third proportional to 642.52 and 1,390.92 is: 3,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.52 : 1,390.92 = 1,390.92 : x
  2. Step 2: Convert to fraction form
    642.52/1,390.92 = 1,390.92/x
  3. Step 3: Cross multiply
    642.52x = 1,390.92 × 1,390.92
  4. Step 4: Simplify right side
    642.52x = 1,934,663.66
  5. Step 5: Solve for x
    x = 1,934,663.66/642.52
  6. Step 6: Final answer
    x = 3,011.08

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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.