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Finding the Third Proportional to 68,988 and 147,819

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Solution

The third proportional to 68,988 and 147,819 is: 316,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,988 : 147,819 = 147,819 : x
  2. Step 2: Convert to fraction form
    68,988/147,819 = 147,819/x
  3. Step 3: Cross multiply
    68,988x = 147,819 × 147,819
  4. Step 4: Simplify right side
    68,988x = 21,850,456,761
  5. Step 5: Solve for x
    x = 21,850,456,761/68,988
  6. Step 6: Final answer
    x = 316,728.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.