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Finding the Third Proportional to 152,908.13 and 319,758.38

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Solution

The third proportional to 152,908.13 and 319,758.38 is: 668,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,908.13 : 319,758.38 = 319,758.38 : x
  2. Step 2: Convert to fraction form
    152,908.13/319,758.38 = 319,758.38/x
  3. Step 3: Cross multiply
    152,908.13x = 319,758.38 × 319,758.38
  4. Step 4: Simplify right side
    152,908.13x = 102,245,418,382.64
  5. Step 5: Solve for x
    x = 102,245,418,382.64/152,908.13
  6. Step 6: Final answer
    x = 668,672.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.