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Finding the Third Proportional to 98,408 and 212,371

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Solution

The third proportional to 98,408 and 212,371 is: 458,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408 : 212,371 = 212,371 : x
  2. Step 2: Convert to fraction form
    98,408/212,371 = 212,371/x
  3. Step 3: Cross multiply
    98,408x = 212,371 × 212,371
  4. Step 4: Simplify right side
    98,408x = 45,101,441,641
  5. Step 5: Solve for x
    x = 45,101,441,641/98,408
  6. Step 6: Final answer
    x = 458,310.72

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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.