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Finding the Third Proportional to 255,784 and 387,244

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Solution

The third proportional to 255,784 and 387,244 is: 586,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,784 : 387,244 = 387,244 : x
  2. Step 2: Convert to fraction form
    255,784/387,244 = 387,244/x
  3. Step 3: Cross multiply
    255,784x = 387,244 × 387,244
  4. Step 4: Simplify right side
    255,784x = 149,957,915,536
  5. Step 5: Solve for x
    x = 149,957,915,536/255,784
  6. Step 6: Final answer
    x = 586,267.77

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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.