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Finding the Third Proportional to 651.56 and 1,423.78

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Solution

The third proportional to 651.56 and 1,423.78 is: 3,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.56 : 1,423.78 = 1,423.78 : x
  2. Step 2: Convert to fraction form
    651.56/1,423.78 = 1,423.78/x
  3. Step 3: Cross multiply
    651.56x = 1,423.78 × 1,423.78
  4. Step 4: Simplify right side
    651.56x = 2,027,153.05
  5. Step 5: Solve for x
    x = 2,027,153.05/651.56
  6. Step 6: Final answer
    x = 3,111.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.