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Finding the Third Proportional to 209,800.13 and 331,360.88

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Solution

The third proportional to 209,800.13 and 331,360.88 is: 523,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.13 : 331,360.88 = 331,360.88 : x
  2. Step 2: Convert to fraction form
    209,800.13/331,360.88 = 331,360.88/x
  3. Step 3: Cross multiply
    209,800.13x = 331,360.88 × 331,360.88
  4. Step 4: Simplify right side
    209,800.13x = 109,800,029,480.77
  5. Step 5: Solve for x
    x = 109,800,029,480.77/209,800.13
  6. Step 6: Final answer
    x = 523,355.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.