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Finding the Third Proportional to 278,889 and 418,970

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Solution

The third proportional to 278,889 and 418,970 is: 629,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,889 : 418,970 = 418,970 : x
  2. Step 2: Convert to fraction form
    278,889/418,970 = 418,970/x
  3. Step 3: Cross multiply
    278,889x = 418,970 × 418,970
  4. Step 4: Simplify right side
    278,889x = 175,535,860,900
  5. Step 5: Solve for x
    x = 175,535,860,900/278,889
  6. Step 6: Final answer
    x = 629,411.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.