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Finding the Third Proportional to 91,178 and 195,988

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Solution

The third proportional to 91,178 and 195,988 is: 421,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,178 : 195,988 = 195,988 : x
  2. Step 2: Convert to fraction form
    91,178/195,988 = 195,988/x
  3. Step 3: Cross multiply
    91,178x = 195,988 × 195,988
  4. Step 4: Simplify right side
    91,178x = 38,411,296,144
  5. Step 5: Solve for x
    x = 38,411,296,144/91,178
  6. Step 6: Final answer
    x = 421,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.