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Finding the Third Proportional to 61,551 and 145,218

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Solution

The third proportional to 61,551 and 145,218 is: 342,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,551 : 145,218 = 145,218 : x
  2. Step 2: Convert to fraction form
    61,551/145,218 = 145,218/x
  3. Step 3: Cross multiply
    61,551x = 145,218 × 145,218
  4. Step 4: Simplify right side
    61,551x = 21,088,267,524
  5. Step 5: Solve for x
    x = 21,088,267,524/61,551
  6. Step 6: Final answer
    x = 342,614.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.