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Finding the Third Proportional to 187,798 and 291,245

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Solution

The third proportional to 187,798 and 291,245 is: 451,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,798 : 291,245 = 291,245 : x
  2. Step 2: Convert to fraction form
    187,798/291,245 = 291,245/x
  3. Step 3: Cross multiply
    187,798x = 291,245 × 291,245
  4. Step 4: Simplify right side
    187,798x = 84,823,650,025
  5. Step 5: Solve for x
    x = 84,823,650,025/187,798
  6. Step 6: Final answer
    x = 451,674.94

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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.