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Finding the Third Proportional to 642.94 and 1,385.86

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Solution

The third proportional to 642.94 and 1,385.86 is: 2,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 1,385.86 = 1,385.86 : x
  2. Step 2: Convert to fraction form
    642.94/1,385.86 = 1,385.86/x
  3. Step 3: Cross multiply
    642.94x = 1,385.86 × 1,385.86
  4. Step 4: Simplify right side
    642.94x = 1,920,606.21
  5. Step 5: Solve for x
    x = 1,920,606.21/642.94
  6. Step 6: Final answer
    x = 2,987.24

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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.