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Finding the Third Proportional to 131,684 and 212,070

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Solution

The third proportional to 131,684 and 212,070 is: 341,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,684 : 212,070 = 212,070 : x
  2. Step 2: Convert to fraction form
    131,684/212,070 = 212,070/x
  3. Step 3: Cross multiply
    131,684x = 212,070 × 212,070
  4. Step 4: Simplify right side
    131,684x = 44,973,684,900
  5. Step 5: Solve for x
    x = 44,973,684,900/131,684
  6. Step 6: Final answer
    x = 341,527.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.