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Finding the Third Proportional to 40,196 and 87,312

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Solution

The third proportional to 40,196 and 87,312 is: 189,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196 : 87,312 = 87,312 : x
  2. Step 2: Convert to fraction form
    40,196/87,312 = 87,312/x
  3. Step 3: Cross multiply
    40,196x = 87,312 × 87,312
  4. Step 4: Simplify right side
    40,196x = 7,623,385,344
  5. Step 5: Solve for x
    x = 7,623,385,344/40,196
  6. Step 6: Final answer
    x = 189,655.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.