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Finding the Third Proportional to 146,721 and 312,819

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Solution

The third proportional to 146,721 and 312,819 is: 666,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,721 : 312,819 = 312,819 : x
  2. Step 2: Convert to fraction form
    146,721/312,819 = 312,819/x
  3. Step 3: Cross multiply
    146,721x = 312,819 × 312,819
  4. Step 4: Simplify right side
    146,721x = 97,855,726,761
  5. Step 5: Solve for x
    x = 97,855,726,761/146,721
  6. Step 6: Final answer
    x = 666,951.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.