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Finding the Third Proportional to 142,434 and 211,455

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Solution

The third proportional to 142,434 and 211,455 is: 313,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,434 : 211,455 = 211,455 : x
  2. Step 2: Convert to fraction form
    142,434/211,455 = 211,455/x
  3. Step 3: Cross multiply
    142,434x = 211,455 × 211,455
  4. Step 4: Simplify right side
    142,434x = 44,713,217,025
  5. Step 5: Solve for x
    x = 44,713,217,025/142,434
  6. Step 6: Final answer
    x = 313,922.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.