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Finding the Third Proportional to 212,882 and 319,354

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Solution

The third proportional to 212,882 and 319,354 is: 479,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,882 : 319,354 = 319,354 : x
  2. Step 2: Convert to fraction form
    212,882/319,354 = 319,354/x
  3. Step 3: Cross multiply
    212,882x = 319,354 × 319,354
  4. Step 4: Simplify right side
    212,882x = 101,986,977,316
  5. Step 5: Solve for x
    x = 101,986,977,316/212,882
  6. Step 6: Final answer
    x = 479,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.