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Finding the Third Proportional to 274,500 and 438,354

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Solution

The third proportional to 274,500 and 438,354 is: 700,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,500 : 438,354 = 438,354 : x
  2. Step 2: Convert to fraction form
    274,500/438,354 = 438,354/x
  3. Step 3: Cross multiply
    274,500x = 438,354 × 438,354
  4. Step 4: Simplify right side
    274,500x = 192,154,229,316
  5. Step 5: Solve for x
    x = 192,154,229,316/274,500
  6. Step 6: Final answer
    x = 700,015.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.