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Finding the Third Proportional to 218,864 and 342,840

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Solution

The third proportional to 218,864 and 342,840 is: 537,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,864 : 342,840 = 342,840 : x
  2. Step 2: Convert to fraction form
    218,864/342,840 = 342,840/x
  3. Step 3: Cross multiply
    218,864x = 342,840 × 342,840
  4. Step 4: Simplify right side
    218,864x = 117,539,265,600
  5. Step 5: Solve for x
    x = 117,539,265,600/218,864
  6. Step 6: Final answer
    x = 537,042.48

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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.