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Finding the Third Proportional to 91,218 and 199,688

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Solution

The third proportional to 91,218 and 199,688 is: 437,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,218 : 199,688 = 199,688 : x
  2. Step 2: Convert to fraction form
    91,218/199,688 = 199,688/x
  3. Step 3: Cross multiply
    91,218x = 199,688 × 199,688
  4. Step 4: Simplify right side
    91,218x = 39,875,297,344
  5. Step 5: Solve for x
    x = 39,875,297,344/91,218
  6. Step 6: Final answer
    x = 437,142.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.