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Finding the Third Proportional to 278,111 and 608,494

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Solution

The third proportional to 278,111 and 608,494 is: 1,331,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,111 : 608,494 = 608,494 : x
  2. Step 2: Convert to fraction form
    278,111/608,494 = 608,494/x
  3. Step 3: Cross multiply
    278,111x = 608,494 × 608,494
  4. Step 4: Simplify right side
    278,111x = 370,264,948,036
  5. Step 5: Solve for x
    x = 370,264,948,036/278,111
  6. Step 6: Final answer
    x = 1,331,356.72

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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.