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Finding the Third Proportional to 278,731 and 420,706.50

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Solution

The third proportional to 278,731 and 420,706.50 is: 634,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,731 : 420,706.50 = 420,706.50 : x
  2. Step 2: Convert to fraction form
    278,731/420,706.50 = 420,706.50/x
  3. Step 3: Cross multiply
    278,731x = 420,706.50 × 420,706.50
  4. Step 4: Simplify right side
    278,731x = 176,993,959,142.25
  5. Step 5: Solve for x
    x = 176,993,959,142.25/278,731
  6. Step 6: Final answer
    x = 634,999.19

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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.