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Finding the Third Proportional to 62,844 and 89,610

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Solution

The third proportional to 62,844 and 89,610 is: 127,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,844 : 89,610 = 89,610 : x
  2. Step 2: Convert to fraction form
    62,844/89,610 = 89,610/x
  3. Step 3: Cross multiply
    62,844x = 89,610 × 89,610
  4. Step 4: Simplify right side
    62,844x = 8,029,952,100
  5. Step 5: Solve for x
    x = 8,029,952,100/62,844
  6. Step 6: Final answer
    x = 127,775.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.