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Finding the Third Proportional to 269.06 and 651.56

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Solution

The third proportional to 269.06 and 651.56 is: 1,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.06 : 651.56 = 651.56 : x
  2. Step 2: Convert to fraction form
    269.06/651.56 = 651.56/x
  3. Step 3: Cross multiply
    269.06x = 651.56 × 651.56
  4. Step 4: Simplify right side
    269.06x = 424,533.69
  5. Step 5: Solve for x
    x = 424,533.69/269.06
  6. Step 6: Final answer
    x = 1,577.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.