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Finding the Third Proportional to 39,310 and 82,264

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Solution

The third proportional to 39,310 and 82,264 is: 172,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,310 : 82,264 = 82,264 : x
  2. Step 2: Convert to fraction form
    39,310/82,264 = 82,264/x
  3. Step 3: Cross multiply
    39,310x = 82,264 × 82,264
  4. Step 4: Simplify right side
    39,310x = 6,767,365,696
  5. Step 5: Solve for x
    x = 6,767,365,696/39,310
  6. Step 6: Final answer
    x = 172,153.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.