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Finding the Third Proportional to 255,908 and 387,386

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Solution

The third proportional to 255,908 and 387,386 is: 586,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,908 : 387,386 = 387,386 : x
  2. Step 2: Convert to fraction form
    255,908/387,386 = 387,386/x
  3. Step 3: Cross multiply
    255,908x = 387,386 × 387,386
  4. Step 4: Simplify right side
    255,908x = 150,067,912,996
  5. Step 5: Solve for x
    x = 150,067,912,996/255,908
  6. Step 6: Final answer
    x = 586,413.53

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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.