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Finding the Third Proportional to 962.88 and 1,100.13

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Solution

The third proportional to 962.88 and 1,100.13 is: 1,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.88 : 1,100.13 = 1,100.13 : x
  2. Step 2: Convert to fraction form
    962.88/1,100.13 = 1,100.13/x
  3. Step 3: Cross multiply
    962.88x = 1,100.13 × 1,100.13
  4. Step 4: Simplify right side
    962.88x = 1,210,275.02
  5. Step 5: Solve for x
    x = 1,210,275.02/962.88
  6. Step 6: Final answer
    x = 1,256.94

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.