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Finding the Third Proportional to 218,421 and 342,698

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Solution

The third proportional to 218,421 and 342,698 is: 537,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,421 : 342,698 = 342,698 : x
  2. Step 2: Convert to fraction form
    218,421/342,698 = 342,698/x
  3. Step 3: Cross multiply
    218,421x = 342,698 × 342,698
  4. Step 4: Simplify right side
    218,421x = 117,441,919,204
  5. Step 5: Solve for x
    x = 117,441,919,204/218,421
  6. Step 6: Final answer
    x = 537,686.02

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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.