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Finding the Third Proportional to 68,672 and 144,724

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Solution

The third proportional to 68,672 and 144,724 is: 305,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,672 : 144,724 = 144,724 : x
  2. Step 2: Convert to fraction form
    68,672/144,724 = 144,724/x
  3. Step 3: Cross multiply
    68,672x = 144,724 × 144,724
  4. Step 4: Simplify right side
    68,672x = 20,945,036,176
  5. Step 5: Solve for x
    x = 20,945,036,176/68,672
  6. Step 6: Final answer
    x = 305,001.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.