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Finding the Third Proportional to 91,460 and 199,678

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Solution

The third proportional to 91,460 and 199,678 is: 435,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,460 : 199,678 = 199,678 : x
  2. Step 2: Convert to fraction form
    91,460/199,678 = 199,678/x
  3. Step 3: Cross multiply
    91,460x = 199,678 × 199,678
  4. Step 4: Simplify right side
    91,460x = 39,871,303,684
  5. Step 5: Solve for x
    x = 39,871,303,684/91,460
  6. Step 6: Final answer
    x = 435,942.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.