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Finding the Third Proportional to 222,480 and 477,360

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Solution

The third proportional to 222,480 and 477,360 is: 1,024,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,480 : 477,360 = 477,360 : x
  2. Step 2: Convert to fraction form
    222,480/477,360 = 477,360/x
  3. Step 3: Cross multiply
    222,480x = 477,360 × 477,360
  4. Step 4: Simplify right side
    222,480x = 227,872,569,600
  5. Step 5: Solve for x
    x = 227,872,569,600/222,480
  6. Step 6: Final answer
    x = 1,024,238.45

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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.