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Finding the Third Proportional to 212,070 and 278,734

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Solution

The third proportional to 212,070 and 278,734 is: 366,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,070 : 278,734 = 278,734 : x
  2. Step 2: Convert to fraction form
    212,070/278,734 = 278,734/x
  3. Step 3: Cross multiply
    212,070x = 278,734 × 278,734
  4. Step 4: Simplify right side
    212,070x = 77,692,642,756
  5. Step 5: Solve for x
    x = 77,692,642,756/212,070
  6. Step 6: Final answer
    x = 366,353.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.