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Finding the Third Proportional to 218,373 and 477,480

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Solution

The third proportional to 218,373 and 477,480 is: 1,044,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,373 : 477,480 = 477,480 : x
  2. Step 2: Convert to fraction form
    218,373/477,480 = 477,480/x
  3. Step 3: Cross multiply
    218,373x = 477,480 × 477,480
  4. Step 4: Simplify right side
    218,373x = 227,987,150,400
  5. Step 5: Solve for x
    x = 227,987,150,400/218,373
  6. Step 6: Final answer
    x = 1,044,026.28

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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.