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Finding the Third Proportional to 91,350 and 141,369

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Solution

The third proportional to 91,350 and 141,369 is: 218,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,350 : 141,369 = 141,369 : x
  2. Step 2: Convert to fraction form
    91,350/141,369 = 141,369/x
  3. Step 3: Cross multiply
    91,350x = 141,369 × 141,369
  4. Step 4: Simplify right side
    91,350x = 19,985,194,161
  5. Step 5: Solve for x
    x = 19,985,194,161/91,350
  6. Step 6: Final answer
    x = 218,776.07

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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.