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Finding the Third Proportional to 68,374 and 143,660

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Solution

The third proportional to 68,374 and 143,660 is: 301,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,374 : 143,660 = 143,660 : x
  2. Step 2: Convert to fraction form
    68,374/143,660 = 143,660/x
  3. Step 3: Cross multiply
    68,374x = 143,660 × 143,660
  4. Step 4: Simplify right side
    68,374x = 20,638,195,600
  5. Step 5: Solve for x
    x = 20,638,195,600/68,374
  6. Step 6: Final answer
    x = 301,842.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.