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Finding the Third Proportional to 101,288 and 209,056

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Solution

The third proportional to 101,288 and 209,056 is: 431,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,288 : 209,056 = 209,056 : x
  2. Step 2: Convert to fraction form
    101,288/209,056 = 209,056/x
  3. Step 3: Cross multiply
    101,288x = 209,056 × 209,056
  4. Step 4: Simplify right side
    101,288x = 43,704,411,136
  5. Step 5: Solve for x
    x = 43,704,411,136/101,288
  6. Step 6: Final answer
    x = 431,486.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.