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Finding the Third Proportional to 91,803 and 140,421

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Solution

The third proportional to 91,803 and 140,421 is: 214,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,803 : 140,421 = 140,421 : x
  2. Step 2: Convert to fraction form
    91,803/140,421 = 140,421/x
  3. Step 3: Cross multiply
    91,803x = 140,421 × 140,421
  4. Step 4: Simplify right side
    91,803x = 19,718,057,241
  5. Step 5: Solve for x
    x = 19,718,057,241/91,803
  6. Step 6: Final answer
    x = 214,786.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.