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Finding the Third Proportional to 98,020 and 212,636

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Solution

The third proportional to 98,020 and 212,636 is: 461,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020 : 212,636 = 212,636 : x
  2. Step 2: Convert to fraction form
    98,020/212,636 = 212,636/x
  3. Step 3: Cross multiply
    98,020x = 212,636 × 212,636
  4. Step 4: Simplify right side
    98,020x = 45,214,068,496
  5. Step 5: Solve for x
    x = 45,214,068,496/98,020
  6. Step 6: Final answer
    x = 461,273.91

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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.