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Finding the Third Proportional to 711.38 and 1,640.06

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Solution

The third proportional to 711.38 and 1,640.06 is: 3,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 1,640.06 = 1,640.06 : x
  2. Step 2: Convert to fraction form
    711.38/1,640.06 = 1,640.06/x
  3. Step 3: Cross multiply
    711.38x = 1,640.06 × 1,640.06
  4. Step 4: Simplify right side
    711.38x = 2,689,805.00
  5. Step 5: Solve for x
    x = 2,689,805.00/711.38
  6. Step 6: Final answer
    x = 3,781.14

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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.