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Finding the Third Proportional to 245,187 and 379,809

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Solution

The third proportional to 245,187 and 379,809 is: 588,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,187 : 379,809 = 379,809 : x
  2. Step 2: Convert to fraction form
    245,187/379,809 = 379,809/x
  3. Step 3: Cross multiply
    245,187x = 379,809 × 379,809
  4. Step 4: Simplify right side
    245,187x = 144,254,876,481
  5. Step 5: Solve for x
    x = 144,254,876,481/245,187
  6. Step 6: Final answer
    x = 588,346.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.