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Finding the Third Proportional to 36,312 and 78,186

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Solution

The third proportional to 36,312 and 78,186 is: 168,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,312 : 78,186 = 78,186 : x
  2. Step 2: Convert to fraction form
    36,312/78,186 = 78,186/x
  3. Step 3: Cross multiply
    36,312x = 78,186 × 78,186
  4. Step 4: Simplify right side
    36,312x = 6,113,050,596
  5. Step 5: Solve for x
    x = 6,113,050,596/36,312
  6. Step 6: Final answer
    x = 168,347.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.