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Finding the Third Proportional to 211,206 and 437,382

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Solution

The third proportional to 211,206 and 437,382 is: 905,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,206 : 437,382 = 437,382 : x
  2. Step 2: Convert to fraction form
    211,206/437,382 = 437,382/x
  3. Step 3: Cross multiply
    211,206x = 437,382 × 437,382
  4. Step 4: Simplify right side
    211,206x = 191,303,013,924
  5. Step 5: Solve for x
    x = 191,303,013,924/211,206
  6. Step 6: Final answer
    x = 905,765.05

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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.