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Finding the Third Proportional to 98,116 and 207,680

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Solution

The third proportional to 98,116 and 207,680 is: 439,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,116 : 207,680 = 207,680 : x
  2. Step 2: Convert to fraction form
    98,116/207,680 = 207,680/x
  3. Step 3: Cross multiply
    98,116x = 207,680 × 207,680
  4. Step 4: Simplify right side
    98,116x = 43,130,982,400
  5. Step 5: Solve for x
    x = 43,130,982,400/98,116
  6. Step 6: Final answer
    x = 439,591.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.