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Finding the Third Proportional to 151,421 and 212,324

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Solution

The third proportional to 151,421 and 212,324 is: 297,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,421 : 212,324 = 212,324 : x
  2. Step 2: Convert to fraction form
    151,421/212,324 = 212,324/x
  3. Step 3: Cross multiply
    151,421x = 212,324 × 212,324
  4. Step 4: Simplify right side
    151,421x = 45,081,480,976
  5. Step 5: Solve for x
    x = 45,081,480,976/151,421
  6. Step 6: Final answer
    x = 297,722.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.