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Finding the Third Proportional to 61,287 and 128,191

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Solution

The third proportional to 61,287 and 128,191 is: 268,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,287 : 128,191 = 128,191 : x
  2. Step 2: Convert to fraction form
    61,287/128,191 = 128,191/x
  3. Step 3: Cross multiply
    61,287x = 128,191 × 128,191
  4. Step 4: Simplify right side
    61,287x = 16,432,932,481
  5. Step 5: Solve for x
    x = 16,432,932,481/61,287
  6. Step 6: Final answer
    x = 268,130.80

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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.