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Finding the Third Proportional to 255,222 and 391,756

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Solution

The third proportional to 255,222 and 391,756 is: 601,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,222 : 391,756 = 391,756 : x
  2. Step 2: Convert to fraction form
    255,222/391,756 = 391,756/x
  3. Step 3: Cross multiply
    255,222x = 391,756 × 391,756
  4. Step 4: Simplify right side
    255,222x = 153,472,763,536
  5. Step 5: Solve for x
    x = 153,472,763,536/255,222
  6. Step 6: Final answer
    x = 601,330.46

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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.