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Finding the Third Proportional to 218,300 and 477,178

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Solution

The third proportional to 218,300 and 477,178 is: 1,043,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,300 : 477,178 = 477,178 : x
  2. Step 2: Convert to fraction form
    218,300/477,178 = 477,178/x
  3. Step 3: Cross multiply
    218,300x = 477,178 × 477,178
  4. Step 4: Simplify right side
    218,300x = 227,698,843,684
  5. Step 5: Solve for x
    x = 227,698,843,684/218,300
  6. Step 6: Final answer
    x = 1,043,054.71

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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.