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Finding the Third Proportional to 255,474 and 386,746

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Solution

The third proportional to 255,474 and 386,746 is: 585,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,474 : 386,746 = 386,746 : x
  2. Step 2: Convert to fraction form
    255,474/386,746 = 386,746/x
  3. Step 3: Cross multiply
    255,474x = 386,746 × 386,746
  4. Step 4: Simplify right side
    255,474x = 149,572,468,516
  5. Step 5: Solve for x
    x = 149,572,468,516/255,474
  6. Step 6: Final answer
    x = 585,470.41

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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.