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Finding the Third Proportional to 212,438 and 462,340

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Solution

The third proportional to 212,438 and 462,340 is: 1,006,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,438 : 462,340 = 462,340 : x
  2. Step 2: Convert to fraction form
    212,438/462,340 = 462,340/x
  3. Step 3: Cross multiply
    212,438x = 462,340 × 462,340
  4. Step 4: Simplify right side
    212,438x = 213,758,275,600
  5. Step 5: Solve for x
    x = 213,758,275,600/212,438
  6. Step 6: Final answer
    x = 1,006,214.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.