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Finding the Third Proportional to 278,426 and 606,532

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Solution

The third proportional to 278,426 and 606,532 is: 1,321,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,426 : 606,532 = 606,532 : x
  2. Step 2: Convert to fraction form
    278,426/606,532 = 606,532/x
  3. Step 3: Cross multiply
    278,426x = 606,532 × 606,532
  4. Step 4: Simplify right side
    278,426x = 367,881,067,024
  5. Step 5: Solve for x
    x = 367,881,067,024/278,426
  6. Step 6: Final answer
    x = 1,321,288.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.