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Finding the Third Proportional to 59,140 and 128,228

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Solution

The third proportional to 59,140 and 128,228 is: 278,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,140 : 128,228 = 128,228 : x
  2. Step 2: Convert to fraction form
    59,140/128,228 = 128,228/x
  3. Step 3: Cross multiply
    59,140x = 128,228 × 128,228
  4. Step 4: Simplify right side
    59,140x = 16,442,419,984
  5. Step 5: Solve for x
    x = 16,442,419,984/59,140
  6. Step 6: Final answer
    x = 278,025.36

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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.