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Finding the Third Proportional to 212,278.50 and 288,446.63

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Solution

The third proportional to 212,278.50 and 288,446.63 is: 391,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,278.50 : 288,446.63 = 288,446.63 : x
  2. Step 2: Convert to fraction form
    212,278.50/288,446.63 = 288,446.63/x
  3. Step 3: Cross multiply
    212,278.50x = 288,446.63 × 288,446.63
  4. Step 4: Simplify right side
    212,278.50x = 83,201,455,473.89
  5. Step 5: Solve for x
    x = 83,201,455,473.89/212,278.50
  6. Step 6: Final answer
    x = 391,944.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.