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Finding the Third Proportional to 278,220 and 417,390

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Solution

The third proportional to 278,220 and 417,390 is: 626,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,220 : 417,390 = 417,390 : x
  2. Step 2: Convert to fraction form
    278,220/417,390 = 417,390/x
  3. Step 3: Cross multiply
    278,220x = 417,390 × 417,390
  4. Step 4: Simplify right side
    278,220x = 174,214,412,100
  5. Step 5: Solve for x
    x = 174,214,412,100/278,220
  6. Step 6: Final answer
    x = 626,175.01

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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.