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Finding the Third Proportional to 59,340 and 128,481

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Solution

The third proportional to 59,340 and 128,481 is: 278,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,340 : 128,481 = 128,481 : x
  2. Step 2: Convert to fraction form
    59,340/128,481 = 128,481/x
  3. Step 3: Cross multiply
    59,340x = 128,481 × 128,481
  4. Step 4: Simplify right side
    59,340x = 16,507,367,361
  5. Step 5: Solve for x
    x = 16,507,367,361/59,340
  6. Step 6: Final answer
    x = 278,182.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.