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Finding the Third Proportional to 148,249.13 and 319,012.88

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Solution

The third proportional to 148,249.13 and 319,012.88 is: 686,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,249.13 : 319,012.88 = 319,012.88 : x
  2. Step 2: Convert to fraction form
    148,249.13/319,012.88 = 319,012.88/x
  3. Step 3: Cross multiply
    148,249.13x = 319,012.88 × 319,012.88
  4. Step 4: Simplify right side
    148,249.13x = 101,769,214,415.77
  5. Step 5: Solve for x
    x = 101,769,214,415.77/148,249.13
  6. Step 6: Final answer
    x = 686,474.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.