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Finding the Third Proportional to 218,749 and 342,703

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Solution

The third proportional to 218,749 and 342,703 is: 536,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,749 : 342,703 = 342,703 : x
  2. Step 2: Convert to fraction form
    218,749/342,703 = 342,703/x
  3. Step 3: Cross multiply
    218,749x = 342,703 × 342,703
  4. Step 4: Simplify right side
    218,749x = 117,445,346,209
  5. Step 5: Solve for x
    x = 117,445,346,209/218,749
  6. Step 6: Final answer
    x = 536,895.47

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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.