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Finding the Third Proportional to 201,929 and 437,289

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Solution

The third proportional to 201,929 and 437,289 is: 946,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,929 : 437,289 = 437,289 : x
  2. Step 2: Convert to fraction form
    201,929/437,289 = 437,289/x
  3. Step 3: Cross multiply
    201,929x = 437,289 × 437,289
  4. Step 4: Simplify right side
    201,929x = 191,221,669,521
  5. Step 5: Solve for x
    x = 191,221,669,521/201,929
  6. Step 6: Final answer
    x = 946,974.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.