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Finding the Third Proportional to 188,138 and 291,432

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Solution

The third proportional to 188,138 and 291,432 is: 451,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,138 : 291,432 = 291,432 : x
  2. Step 2: Convert to fraction form
    188,138/291,432 = 291,432/x
  3. Step 3: Cross multiply
    188,138x = 291,432 × 291,432
  4. Step 4: Simplify right side
    188,138x = 84,932,610,624
  5. Step 5: Solve for x
    x = 84,932,610,624/188,138
  6. Step 6: Final answer
    x = 451,437.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.