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Finding the Third Proportional to 212,627 and 312,217

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Solution

The third proportional to 212,627 and 312,217 is: 458,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,627 : 312,217 = 312,217 : x
  2. Step 2: Convert to fraction form
    212,627/312,217 = 312,217/x
  3. Step 3: Cross multiply
    212,627x = 312,217 × 312,217
  4. Step 4: Simplify right side
    212,627x = 97,479,455,089
  5. Step 5: Solve for x
    x = 97,479,455,089/212,627
  6. Step 6: Final answer
    x = 458,452.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.