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Finding the Third Proportional to 658.69 and 1,521.84

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Solution

The third proportional to 658.69 and 1,521.84 is: 3,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 1,521.84 = 1,521.84 : x
  2. Step 2: Convert to fraction form
    658.69/1,521.84 = 1,521.84/x
  3. Step 3: Cross multiply
    658.69x = 1,521.84 × 1,521.84
  4. Step 4: Simplify right side
    658.69x = 2,316,008.40
  5. Step 5: Solve for x
    x = 2,316,008.40/658.69
  6. Step 6: Final answer
    x = 3,516.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.