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Finding the Third Proportional to 218,054 and 477,742

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Solution

The third proportional to 218,054 and 477,742 is: 1,046,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,054 : 477,742 = 477,742 : x
  2. Step 2: Convert to fraction form
    218,054/477,742 = 477,742/x
  3. Step 3: Cross multiply
    218,054x = 477,742 × 477,742
  4. Step 4: Simplify right side
    218,054x = 228,237,418,564
  5. Step 5: Solve for x
    x = 228,237,418,564/218,054
  6. Step 6: Final answer
    x = 1,046,701.36

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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.