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Finding the Third Proportional to 218,778 and 342,729

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Solution

The third proportional to 218,778 and 342,729 is: 536,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,778 : 342,729 = 342,729 : x
  2. Step 2: Convert to fraction form
    218,778/342,729 = 342,729/x
  3. Step 3: Cross multiply
    218,778x = 342,729 × 342,729
  4. Step 4: Simplify right side
    218,778x = 117,463,167,441
  5. Step 5: Solve for x
    x = 117,463,167,441/218,778
  6. Step 6: Final answer
    x = 536,905.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.