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Finding the Third Proportional to 44,678 and 98,246

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Solution

The third proportional to 44,678 and 98,246 is: 216,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,678 : 98,246 = 98,246 : x
  2. Step 2: Convert to fraction form
    44,678/98,246 = 98,246/x
  3. Step 3: Cross multiply
    44,678x = 98,246 × 98,246
  4. Step 4: Simplify right side
    44,678x = 9,652,276,516
  5. Step 5: Solve for x
    x = 9,652,276,516/44,678
  6. Step 6: Final answer
    x = 216,040.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.