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Finding the Third Proportional to 193,871 and 284,048

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Solution

The third proportional to 193,871 and 284,048 is: 416,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,871 : 284,048 = 284,048 : x
  2. Step 2: Convert to fraction form
    193,871/284,048 = 284,048/x
  3. Step 3: Cross multiply
    193,871x = 284,048 × 284,048
  4. Step 4: Simplify right side
    193,871x = 80,683,266,304
  5. Step 5: Solve for x
    x = 80,683,266,304/193,871
  6. Step 6: Final answer
    x = 416,169.86

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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.