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Finding the Third Proportional to 910.38 and 1,373.13

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Solution

The third proportional to 910.38 and 1,373.13 is: 2,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.38 : 1,373.13 = 1,373.13 : x
  2. Step 2: Convert to fraction form
    910.38/1,373.13 = 1,373.13/x
  3. Step 3: Cross multiply
    910.38x = 1,373.13 × 1,373.13
  4. Step 4: Simplify right side
    910.38x = 1,885,472.27
  5. Step 5: Solve for x
    x = 1,885,472.27/910.38
  6. Step 6: Final answer
    x = 2,071.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.