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Finding the Third Proportional to 98,140 and 212,876

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Solution

The third proportional to 98,140 and 212,876 is: 461,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,140 : 212,876 = 212,876 : x
  2. Step 2: Convert to fraction form
    98,140/212,876 = 212,876/x
  3. Step 3: Cross multiply
    98,140x = 212,876 × 212,876
  4. Step 4: Simplify right side
    98,140x = 45,316,191,376
  5. Step 5: Solve for x
    x = 45,316,191,376/98,140
  6. Step 6: Final answer
    x = 461,750.47

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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.