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Finding the Third Proportional to 210,128 and 319,078

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Solution

The third proportional to 210,128 and 319,078 is: 484,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,128 : 319,078 = 319,078 : x
  2. Step 2: Convert to fraction form
    210,128/319,078 = 319,078/x
  3. Step 3: Cross multiply
    210,128x = 319,078 × 319,078
  4. Step 4: Simplify right side
    210,128x = 101,810,770,084
  5. Step 5: Solve for x
    x = 101,810,770,084/210,128
  6. Step 6: Final answer
    x = 484,517.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.