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Finding the Third Proportional to 661.92 and 1,423.51

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Solution

The third proportional to 661.92 and 1,423.51 is: 3,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 1,423.51 = 1,423.51 : x
  2. Step 2: Convert to fraction form
    661.92/1,423.51 = 1,423.51/x
  3. Step 3: Cross multiply
    661.92x = 1,423.51 × 1,423.51
  4. Step 4: Simplify right side
    661.92x = 2,026,385.61
  5. Step 5: Solve for x
    x = 2,026,385.61/661.92
  6. Step 6: Final answer
    x = 3,061.37

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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.