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Finding the Third Proportional to 218,378 and 477,492

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Solution

The third proportional to 218,378 and 477,492 is: 1,044,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,378 : 477,492 = 477,492 : x
  2. Step 2: Convert to fraction form
    218,378/477,492 = 477,492/x
  3. Step 3: Cross multiply
    218,378x = 477,492 × 477,492
  4. Step 4: Simplify right side
    218,378x = 227,998,610,064
  5. Step 5: Solve for x
    x = 227,998,610,064/218,378
  6. Step 6: Final answer
    x = 1,044,054.85

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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.