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Finding the Third Proportional to 91,420 and 141,274

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Solution

The third proportional to 91,420 and 141,274 is: 218,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,420 : 141,274 = 141,274 : x
  2. Step 2: Convert to fraction form
    91,420/141,274 = 141,274/x
  3. Step 3: Cross multiply
    91,420x = 141,274 × 141,274
  4. Step 4: Simplify right side
    91,420x = 19,958,343,076
  5. Step 5: Solve for x
    x = 19,958,343,076/91,420
  6. Step 6: Final answer
    x = 218,314.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.