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Finding the Third Proportional to 269.46 and 577.36

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Solution

The third proportional to 269.46 and 577.36 is: 1,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.46 : 577.36 = 577.36 : x
  2. Step 2: Convert to fraction form
    269.46/577.36 = 577.36/x
  3. Step 3: Cross multiply
    269.46x = 577.36 × 577.36
  4. Step 4: Simplify right side
    269.46x = 333,347.23
  5. Step 5: Solve for x
    x = 333,347.23/269.46
  6. Step 6: Final answer
    x = 1,237.10

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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.