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Finding the Third Proportional to 255,594 and 386,976

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Solution

The third proportional to 255,594 and 386,976 is: 585,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,594 : 386,976 = 386,976 : x
  2. Step 2: Convert to fraction form
    255,594/386,976 = 386,976/x
  3. Step 3: Cross multiply
    255,594x = 386,976 × 386,976
  4. Step 4: Simplify right side
    255,594x = 149,750,424,576
  5. Step 5: Solve for x
    x = 149,750,424,576/255,594
  6. Step 6: Final answer
    x = 585,891.78

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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.