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Finding the Third Proportional to 134,704 and 211,320

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Solution

The third proportional to 134,704 and 211,320 is: 331,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,704 : 211,320 = 211,320 : x
  2. Step 2: Convert to fraction form
    134,704/211,320 = 211,320/x
  3. Step 3: Cross multiply
    134,704x = 211,320 × 211,320
  4. Step 4: Simplify right side
    134,704x = 44,656,142,400
  5. Step 5: Solve for x
    x = 44,656,142,400/134,704
  6. Step 6: Final answer
    x = 331,513.11

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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.