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Finding the Third Proportional to 278,258 and 417,444

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Solution

The third proportional to 278,258 and 417,444 is: 626,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,258 : 417,444 = 417,444 : x
  2. Step 2: Convert to fraction form
    278,258/417,444 = 417,444/x
  3. Step 3: Cross multiply
    278,258x = 417,444 × 417,444
  4. Step 4: Simplify right side
    278,258x = 174,259,493,136
  5. Step 5: Solve for x
    x = 174,259,493,136/278,258
  6. Step 6: Final answer
    x = 626,251.51

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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.