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Finding the Third Proportional to 278,110 and 608,492

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Solution

The third proportional to 278,110 and 608,492 is: 1,331,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,110 : 608,492 = 608,492 : x
  2. Step 2: Convert to fraction form
    278,110/608,492 = 608,492/x
  3. Step 3: Cross multiply
    278,110x = 608,492 × 608,492
  4. Step 4: Simplify right side
    278,110x = 370,262,514,064
  5. Step 5: Solve for x
    x = 370,262,514,064/278,110
  6. Step 6: Final answer
    x = 1,331,352.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.