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Finding the Third Proportional to 133,644 and 211,470

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Solution

The third proportional to 133,644 and 211,470 is: 334,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,644 : 211,470 = 211,470 : x
  2. Step 2: Convert to fraction form
    133,644/211,470 = 211,470/x
  3. Step 3: Cross multiply
    133,644x = 211,470 × 211,470
  4. Step 4: Simplify right side
    133,644x = 44,719,560,900
  5. Step 5: Solve for x
    x = 44,719,560,900/133,644
  6. Step 6: Final answer
    x = 334,617.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.