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Finding the Third Proportional to 98,143 and 212,882

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Solution

The third proportional to 98,143 and 212,882 is: 461,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143 : 212,882 = 212,882 : x
  2. Step 2: Convert to fraction form
    98,143/212,882 = 212,882/x
  3. Step 3: Cross multiply
    98,143x = 212,882 × 212,882
  4. Step 4: Simplify right side
    98,143x = 45,318,745,924
  5. Step 5: Solve for x
    x = 45,318,745,924/98,143
  6. Step 6: Final answer
    x = 461,762.39

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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.