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Finding the Third Proportional to 57,688 and 127,900

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Solution

The third proportional to 57,688 and 127,900 is: 283,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 127,900 = 127,900 : x
  2. Step 2: Convert to fraction form
    57,688/127,900 = 127,900/x
  3. Step 3: Cross multiply
    57,688x = 127,900 × 127,900
  4. Step 4: Simplify right side
    57,688x = 16,358,410,000
  5. Step 5: Solve for x
    x = 16,358,410,000/57,688
  6. Step 6: Final answer
    x = 283,566.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.