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Finding the Third Proportional to 148,081 and 319,803.50

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Solution

The third proportional to 148,081 and 319,803.50 is: 690,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,081 : 319,803.50 = 319,803.50 : x
  2. Step 2: Convert to fraction form
    148,081/319,803.50 = 319,803.50/x
  3. Step 3: Cross multiply
    148,081x = 319,803.50 × 319,803.50
  4. Step 4: Simplify right side
    148,081x = 102,274,278,612.25
  5. Step 5: Solve for x
    x = 102,274,278,612.25/148,081
  6. Step 6: Final answer
    x = 690,664.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.