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Finding the Third Proportional to 137,902 and 210,864

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Solution

The third proportional to 137,902 and 210,864 is: 322,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902 : 210,864 = 210,864 : x
  2. Step 2: Convert to fraction form
    137,902/210,864 = 210,864/x
  3. Step 3: Cross multiply
    137,902x = 210,864 × 210,864
  4. Step 4: Simplify right side
    137,902x = 44,463,626,496
  5. Step 5: Solve for x
    x = 44,463,626,496/137,902
  6. Step 6: Final answer
    x = 322,429.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.