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Finding the Third Proportional to 148,523.81 and 319,438.13

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Solution

The third proportional to 148,523.81 and 319,438.13 is: 687,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,523.81 : 319,438.13 = 319,438.13 : x
  2. Step 2: Convert to fraction form
    148,523.81/319,438.13 = 319,438.13/x
  3. Step 3: Cross multiply
    148,523.81x = 319,438.13 × 319,438.13
  4. Step 4: Simplify right side
    148,523.81x = 102,040,715,703.52
  5. Step 5: Solve for x
    x = 102,040,715,703.52/148,523.81
  6. Step 6: Final answer
    x = 687,032.70

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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.