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Finding the Third Proportional to 269.81 and 497.06

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Solution

The third proportional to 269.81 and 497.06 is: 915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.81 : 497.06 = 497.06 : x
  2. Step 2: Convert to fraction form
    269.81/497.06 = 497.06/x
  3. Step 3: Cross multiply
    269.81x = 497.06 × 497.06
  4. Step 4: Simplify right side
    269.81x = 247,071.13
  5. Step 5: Solve for x
    x = 247,071.13/269.81
  6. Step 6: Final answer
    x = 915.71

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.