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Finding the Third Proportional to 134,720 and 211,352

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Solution

The third proportional to 134,720 and 211,352 is: 331,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,720 : 211,352 = 211,352 : x
  2. Step 2: Convert to fraction form
    134,720/211,352 = 211,352/x
  3. Step 3: Cross multiply
    134,720x = 211,352 × 211,352
  4. Step 4: Simplify right side
    134,720x = 44,669,667,904
  5. Step 5: Solve for x
    x = 44,669,667,904/134,720
  6. Step 6: Final answer
    x = 331,574.14

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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.