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Finding the Third Proportional to 98,044 and 212,680

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Solution

The third proportional to 98,044 and 212,680 is: 461,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,044 : 212,680 = 212,680 : x
  2. Step 2: Convert to fraction form
    98,044/212,680 = 212,680/x
  3. Step 3: Cross multiply
    98,044x = 212,680 × 212,680
  4. Step 4: Simplify right side
    98,044x = 45,232,782,400
  5. Step 5: Solve for x
    x = 45,232,782,400/98,044
  6. Step 6: Final answer
    x = 461,351.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.