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Finding the Third Proportional to 212,073 and 438,909

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Solution

The third proportional to 212,073 and 438,909 is: 908,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,073 : 438,909 = 438,909 : x
  2. Step 2: Convert to fraction form
    212,073/438,909 = 438,909/x
  3. Step 3: Cross multiply
    212,073x = 438,909 × 438,909
  4. Step 4: Simplify right side
    212,073x = 192,641,110,281
  5. Step 5: Solve for x
    x = 192,641,110,281/212,073
  6. Step 6: Final answer
    x = 908,371.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.