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Finding the Third Proportional to 187,848 and 291,318

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Solution

The third proportional to 187,848 and 291,318 is: 451,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,848 : 291,318 = 291,318 : x
  2. Step 2: Convert to fraction form
    187,848/291,318 = 291,318/x
  3. Step 3: Cross multiply
    187,848x = 291,318 × 291,318
  4. Step 4: Simplify right side
    187,848x = 84,866,177,124
  5. Step 5: Solve for x
    x = 84,866,177,124/187,848
  6. Step 6: Final answer
    x = 451,781.11

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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.