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Finding the Third Proportional to 98,400 and 212,352

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Solution

The third proportional to 98,400 and 212,352 is: 458,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400 : 212,352 = 212,352 : x
  2. Step 2: Convert to fraction form
    98,400/212,352 = 212,352/x
  3. Step 3: Cross multiply
    98,400x = 212,352 × 212,352
  4. Step 4: Simplify right side
    98,400x = 45,093,371,904
  5. Step 5: Solve for x
    x = 45,093,371,904/98,400
  6. Step 6: Final answer
    x = 458,265.97

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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.