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Finding the Third Proportional to 275,760 and 442,434

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Solution

The third proportional to 275,760 and 442,434 is: 709,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,760 : 442,434 = 442,434 : x
  2. Step 2: Convert to fraction form
    275,760/442,434 = 442,434/x
  3. Step 3: Cross multiply
    275,760x = 442,434 × 442,434
  4. Step 4: Simplify right side
    275,760x = 195,747,844,356
  5. Step 5: Solve for x
    x = 195,747,844,356/275,760
  6. Step 6: Final answer
    x = 709,848.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.