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Finding the Third Proportional to 138,304 and 203,056

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Solution

The third proportional to 138,304 and 203,056 is: 298,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304 : 203,056 = 203,056 : x
  2. Step 2: Convert to fraction form
    138,304/203,056 = 203,056/x
  3. Step 3: Cross multiply
    138,304x = 203,056 × 203,056
  4. Step 4: Simplify right side
    138,304x = 41,231,739,136
  5. Step 5: Solve for x
    x = 41,231,739,136/138,304
  6. Step 6: Final answer
    x = 298,123.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.