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Finding the Third Proportional to 8,511.75 and 10,702.13

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Solution

The third proportional to 8,511.75 and 10,702.13 is: 13,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.75 : 10,702.13 = 10,702.13 : x
  2. Step 2: Convert to fraction form
    8,511.75/10,702.13 = 10,702.13/x
  3. Step 3: Cross multiply
    8,511.75x = 10,702.13 × 10,702.13
  4. Step 4: Simplify right side
    8,511.75x = 114,535,479.52
  5. Step 5: Solve for x
    x = 114,535,479.52/8,511.75
  6. Step 6: Final answer
    x = 13,456.16

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.