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Finding the Third Proportional to 255,220 and 391,753

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Solution

The third proportional to 255,220 and 391,753 is: 601,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220 : 391,753 = 391,753 : x
  2. Step 2: Convert to fraction form
    255,220/391,753 = 391,753/x
  3. Step 3: Cross multiply
    255,220x = 391,753 × 391,753
  4. Step 4: Simplify right side
    255,220x = 153,470,413,009
  5. Step 5: Solve for x
    x = 153,470,413,009/255,220
  6. Step 6: Final answer
    x = 601,325.97

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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.