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Finding the Third Proportional to 269.79 and 577.34

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Solution

The third proportional to 269.79 and 577.34 is: 1,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.79 : 577.34 = 577.34 : x
  2. Step 2: Convert to fraction form
    269.79/577.34 = 577.34/x
  3. Step 3: Cross multiply
    269.79x = 577.34 × 577.34
  4. Step 4: Simplify right side
    269.79x = 333,316.78
  5. Step 5: Solve for x
    x = 333,316.78/269.79
  6. Step 6: Final answer
    x = 1,235.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.