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Finding the Third Proportional to 147,960 and 319,565.25

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Solution

The third proportional to 147,960 and 319,565.25 is: 690,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,960 : 319,565.25 = 319,565.25 : x
  2. Step 2: Convert to fraction form
    147,960/319,565.25 = 319,565.25/x
  3. Step 3: Cross multiply
    147,960x = 319,565.25 × 319,565.25
  4. Step 4: Simplify right side
    147,960x = 102,121,949,007.56
  5. Step 5: Solve for x
    x = 102,121,949,007.56/147,960
  6. Step 6: Final answer
    x = 690,199.71

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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.