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Finding the Third Proportional to 975 and 1,264.88

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Solution

The third proportional to 975 and 1,264.88 is: 1,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975 : 1,264.88 = 1,264.88 : x
  2. Step 2: Convert to fraction form
    975/1,264.88 = 1,264.88/x
  3. Step 3: Cross multiply
    975x = 1,264.88 × 1,264.88
  4. Step 4: Simplify right side
    975x = 1,599,908.77
  5. Step 5: Solve for x
    x = 1,599,908.77/975
  6. Step 6: Final answer
    x = 1,640.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.