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Finding the Third Proportional to 255,904 and 391,678

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Solution

The third proportional to 255,904 and 391,678 is: 599,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904 : 391,678 = 391,678 : x
  2. Step 2: Convert to fraction form
    255,904/391,678 = 391,678/x
  3. Step 3: Cross multiply
    255,904x = 391,678 × 391,678
  4. Step 4: Simplify right side
    255,904x = 153,411,655,684
  5. Step 5: Solve for x
    x = 153,411,655,684/255,904
  6. Step 6: Final answer
    x = 599,489.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.