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Finding the Third Proportional to 189,310 and 404,888

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Solution

The third proportional to 189,310 and 404,888 is: 865,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,310 : 404,888 = 404,888 : x
  2. Step 2: Convert to fraction form
    189,310/404,888 = 404,888/x
  3. Step 3: Cross multiply
    189,310x = 404,888 × 404,888
  4. Step 4: Simplify right side
    189,310x = 163,934,292,544
  5. Step 5: Solve for x
    x = 163,934,292,544/189,310
  6. Step 6: Final answer
    x = 865,956.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.