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Finding the Third Proportional to 136,448 and 210,496

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Solution

The third proportional to 136,448 and 210,496 is: 324,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,448 : 210,496 = 210,496 : x
  2. Step 2: Convert to fraction form
    136,448/210,496 = 210,496/x
  3. Step 3: Cross multiply
    136,448x = 210,496 × 210,496
  4. Step 4: Simplify right side
    136,448x = 44,308,566,016
  5. Step 5: Solve for x
    x = 44,308,566,016/136,448
  6. Step 6: Final answer
    x = 324,728.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.