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Finding the Third Proportional to 642.86 and 903.42

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Solution

The third proportional to 642.86 and 903.42 is: 1,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.86 : 903.42 = 903.42 : x
  2. Step 2: Convert to fraction form
    642.86/903.42 = 903.42/x
  3. Step 3: Cross multiply
    642.86x = 903.42 × 903.42
  4. Step 4: Simplify right side
    642.86x = 816,165.79
  5. Step 5: Solve for x
    x = 816,165.79/642.86
  6. Step 6: Final answer
    x = 1,269.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.