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Finding the Third Proportional to 1,010.25 and 1,215.28

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Solution

The third proportional to 1,010.25 and 1,215.28 is: 1,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.25 : 1,215.28 = 1,215.28 : x
  2. Step 2: Convert to fraction form
    1,010.25/1,215.28 = 1,215.28/x
  3. Step 3: Cross multiply
    1,010.25x = 1,215.28 × 1,215.28
  4. Step 4: Simplify right side
    1,010.25x = 1,476,908.52
  5. Step 5: Solve for x
    x = 1,476,908.52/1,010.25
  6. Step 6: Final answer
    x = 1,461.92

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.