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Finding the Third Proportional to 69,215 and 98,976

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Solution

The third proportional to 69,215 and 98,976 is: 141,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,215 : 98,976 = 98,976 : x
  2. Step 2: Convert to fraction form
    69,215/98,976 = 98,976/x
  3. Step 3: Cross multiply
    69,215x = 98,976 × 98,976
  4. Step 4: Simplify right side
    69,215x = 9,796,248,576
  5. Step 5: Solve for x
    x = 9,796,248,576/69,215
  6. Step 6: Final answer
    x = 141,533.61

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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.