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Finding the Third Proportional to 77,102 and 112,725

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Solution

The third proportional to 77,102 and 112,725 is: 164,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102 : 112,725 = 112,725 : x
  2. Step 2: Convert to fraction form
    77,102/112,725 = 112,725/x
  3. Step 3: Cross multiply
    77,102x = 112,725 × 112,725
  4. Step 4: Simplify right side
    77,102x = 12,706,925,625
  5. Step 5: Solve for x
    x = 12,706,925,625/77,102
  6. Step 6: Final answer
    x = 164,806.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.