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Finding the Third Proportional to 188,864 and 285,117

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Solution

The third proportional to 188,864 and 285,117 is: 430,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,864 : 285,117 = 285,117 : x
  2. Step 2: Convert to fraction form
    188,864/285,117 = 285,117/x
  3. Step 3: Cross multiply
    188,864x = 285,117 × 285,117
  4. Step 4: Simplify right side
    188,864x = 81,291,703,689
  5. Step 5: Solve for x
    x = 81,291,703,689/188,864
  6. Step 6: Final answer
    x = 430,424.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.