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Finding the Third Proportional to 659.71 and 1,400.41

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Solution

The third proportional to 659.71 and 1,400.41 is: 2,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 1,400.41 = 1,400.41 : x
  2. Step 2: Convert to fraction form
    659.71/1,400.41 = 1,400.41/x
  3. Step 3: Cross multiply
    659.71x = 1,400.41 × 1,400.41
  4. Step 4: Simplify right side
    659.71x = 1,961,159.55
  5. Step 5: Solve for x
    x = 1,961,159.55/659.71
  6. Step 6: Final answer
    x = 2,972.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.