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Finding the Third Proportional to 61,306 and 128,218

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Solution

The third proportional to 61,306 and 128,218 is: 268,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,306 : 128,218 = 128,218 : x
  2. Step 2: Convert to fraction form
    61,306/128,218 = 128,218/x
  3. Step 3: Cross multiply
    61,306x = 128,218 × 128,218
  4. Step 4: Simplify right side
    61,306x = 16,439,855,524
  5. Step 5: Solve for x
    x = 16,439,855,524/61,306
  6. Step 6: Final answer
    x = 268,160.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.