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Finding the Third Proportional to 222,480 and 460,731

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Solution

The third proportional to 222,480 and 460,731 is: 954,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,480 : 460,731 = 460,731 : x
  2. Step 2: Convert to fraction form
    222,480/460,731 = 460,731/x
  3. Step 3: Cross multiply
    222,480x = 460,731 × 460,731
  4. Step 4: Simplify right side
    222,480x = 212,273,054,361
  5. Step 5: Solve for x
    x = 212,273,054,361/222,480
  6. Step 6: Final answer
    x = 954,121.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.