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Finding the Third Proportional to 141,170 and 212,070

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Solution

The third proportional to 141,170 and 212,070 is: 318,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,170 : 212,070 = 212,070 : x
  2. Step 2: Convert to fraction form
    141,170/212,070 = 212,070/x
  3. Step 3: Cross multiply
    141,170x = 212,070 × 212,070
  4. Step 4: Simplify right side
    141,170x = 44,973,684,900
  5. Step 5: Solve for x
    x = 44,973,684,900/141,170
  6. Step 6: Final answer
    x = 318,578.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.