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Finding the Third Proportional to 138,602 and 210,819

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Solution

The third proportional to 138,602 and 210,819 is: 320,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602 : 210,819 = 210,819 : x
  2. Step 2: Convert to fraction form
    138,602/210,819 = 210,819/x
  3. Step 3: Cross multiply
    138,602x = 210,819 × 210,819
  4. Step 4: Simplify right side
    138,602x = 44,444,650,761
  5. Step 5: Solve for x
    x = 44,444,650,761/138,602
  6. Step 6: Final answer
    x = 320,663.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.