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Finding the Third Proportional to 278,636 and 420,546

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Solution

The third proportional to 278,636 and 420,546 is: 634,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,636 : 420,546 = 420,546 : x
  2. Step 2: Convert to fraction form
    278,636/420,546 = 420,546/x
  3. Step 3: Cross multiply
    278,636x = 420,546 × 420,546
  4. Step 4: Simplify right side
    278,636x = 176,858,938,116
  5. Step 5: Solve for x
    x = 176,858,938,116/278,636
  6. Step 6: Final answer
    x = 634,731.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.