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Finding the Third Proportional to 98,410 and 212,378

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Solution

The third proportional to 98,410 and 212,378 is: 458,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,410 : 212,378 = 212,378 : x
  2. Step 2: Convert to fraction form
    98,410/212,378 = 212,378/x
  3. Step 3: Cross multiply
    98,410x = 212,378 × 212,378
  4. Step 4: Simplify right side
    98,410x = 45,104,414,884
  5. Step 5: Solve for x
    x = 45,104,414,884/98,410
  6. Step 6: Final answer
    x = 458,331.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.