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Finding the Third Proportional to 76,865 and 98,215

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Solution

The third proportional to 76,865 and 98,215 is: 125,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,865 : 98,215 = 98,215 : x
  2. Step 2: Convert to fraction form
    76,865/98,215 = 98,215/x
  3. Step 3: Cross multiply
    76,865x = 98,215 × 98,215
  4. Step 4: Simplify right side
    76,865x = 9,646,186,225
  5. Step 5: Solve for x
    x = 9,646,186,225/76,865
  6. Step 6: Final answer
    x = 125,495.17

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.