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Finding the Third Proportional to 278,428 and 606,536

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Solution

The third proportional to 278,428 and 606,536 is: 1,321,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,428 : 606,536 = 606,536 : x
  2. Step 2: Convert to fraction form
    278,428/606,536 = 606,536/x
  3. Step 3: Cross multiply
    278,428x = 606,536 × 606,536
  4. Step 4: Simplify right side
    278,428x = 367,885,919,296
  5. Step 5: Solve for x
    x = 367,885,919,296/278,428
  6. Step 6: Final answer
    x = 1,321,296.42

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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.