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Finding the Third Proportional to 170,814 and 243,330

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Solution

The third proportional to 170,814 and 243,330 is: 346,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,814 : 243,330 = 243,330 : x
  2. Step 2: Convert to fraction form
    170,814/243,330 = 243,330/x
  3. Step 3: Cross multiply
    170,814x = 243,330 × 243,330
  4. Step 4: Simplify right side
    170,814x = 59,209,488,900
  5. Step 5: Solve for x
    x = 59,209,488,900/170,814
  6. Step 6: Final answer
    x = 346,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.