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Finding the Third Proportional to 113,645 and 239,271

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Solution

The third proportional to 113,645 and 239,271 is: 503,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,645 : 239,271 = 239,271 : x
  2. Step 2: Convert to fraction form
    113,645/239,271 = 239,271/x
  3. Step 3: Cross multiply
    113,645x = 239,271 × 239,271
  4. Step 4: Simplify right side
    113,645x = 57,250,611,441
  5. Step 5: Solve for x
    x = 57,250,611,441/113,645
  6. Step 6: Final answer
    x = 503,767.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.