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Finding the Third Proportional to 94,362 and 222,437

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Solution

The third proportional to 94,362 and 222,437 is: 524,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,362 : 222,437 = 222,437 : x
  2. Step 2: Convert to fraction form
    94,362/222,437 = 222,437/x
  3. Step 3: Cross multiply
    94,362x = 222,437 × 222,437
  4. Step 4: Simplify right side
    94,362x = 49,478,218,969
  5. Step 5: Solve for x
    x = 49,478,218,969/94,362
  6. Step 6: Final answer
    x = 524,344.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.