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Finding the Third Proportional to 910.25 and 1,950.13

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Solution

The third proportional to 910.25 and 1,950.13 is: 4,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.25 : 1,950.13 = 1,950.13 : x
  2. Step 2: Convert to fraction form
    910.25/1,950.13 = 1,950.13/x
  3. Step 3: Cross multiply
    910.25x = 1,950.13 × 1,950.13
  4. Step 4: Simplify right side
    910.25x = 3,802,987.52
  5. Step 5: Solve for x
    x = 3,802,987.52/910.25
  6. Step 6: Final answer
    x = 4,177.96

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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.