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Finding the Third Proportional to 68,371 and 147,696

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Solution

The third proportional to 68,371 and 147,696 is: 319,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,371 : 147,696 = 147,696 : x
  2. Step 2: Convert to fraction form
    68,371/147,696 = 147,696/x
  3. Step 3: Cross multiply
    68,371x = 147,696 × 147,696
  4. Step 4: Simplify right side
    68,371x = 21,814,108,416
  5. Step 5: Solve for x
    x = 21,814,108,416/68,371
  6. Step 6: Final answer
    x = 319,054.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.