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Finding the Third Proportional to 187,832 and 243,840

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Solution

The third proportional to 187,832 and 243,840 is: 316,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,832 : 243,840 = 243,840 : x
  2. Step 2: Convert to fraction form
    187,832/243,840 = 243,840/x
  3. Step 3: Cross multiply
    187,832x = 243,840 × 243,840
  4. Step 4: Simplify right side
    187,832x = 59,457,945,600
  5. Step 5: Solve for x
    x = 59,457,945,600/187,832
  6. Step 6: Final answer
    x = 316,548.54

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.