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Finding the Third Proportional to 643.92 and 1,265.91

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Solution

The third proportional to 643.92 and 1,265.91 is: 2,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 1,265.91 = 1,265.91 : x
  2. Step 2: Convert to fraction form
    643.92/1,265.91 = 1,265.91/x
  3. Step 3: Cross multiply
    643.92x = 1,265.91 × 1,265.91
  4. Step 4: Simplify right side
    643.92x = 1,602,518.63
  5. Step 5: Solve for x
    x = 1,602,518.63/643.92
  6. Step 6: Final answer
    x = 2,488.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.