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Finding the Third Proportional to 68,229 and 147,555

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Solution

The third proportional to 68,229 and 147,555 is: 319,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,229 : 147,555 = 147,555 : x
  2. Step 2: Convert to fraction form
    68,229/147,555 = 147,555/x
  3. Step 3: Cross multiply
    68,229x = 147,555 × 147,555
  4. Step 4: Simplify right side
    68,229x = 21,772,478,025
  5. Step 5: Solve for x
    x = 21,772,478,025/68,229
  6. Step 6: Final answer
    x = 319,108.85

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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.