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Finding the Third Proportional to 659.92 and 1,421.40

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Solution

The third proportional to 659.92 and 1,421.40 is: 3,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.92 : 1,421.40 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    659.92/1,421.40 = 1,421.40/x
  3. Step 3: Cross multiply
    659.92x = 1,421.40 × 1,421.40
  4. Step 4: Simplify right side
    659.92x = 2,020,384.62
  5. Step 5: Solve for x
    x = 2,020,384.62/659.92
  6. Step 6: Final answer
    x = 3,061.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.