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Finding the Third Proportional to 910.25 and 1,373.75

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Solution

The third proportional to 910.25 and 1,373.75 is: 2,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.25 : 1,373.75 = 1,373.75 : x
  2. Step 2: Convert to fraction form
    910.25/1,373.75 = 1,373.75/x
  3. Step 3: Cross multiply
    910.25x = 1,373.75 × 1,373.75
  4. Step 4: Simplify right side
    910.25x = 1,887,189.06
  5. Step 5: Solve for x
    x = 1,887,189.06/910.25
  6. Step 6: Final answer
    x = 2,073.26

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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.