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Finding the Third Proportional to 209,355.75 and 299,027.25

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Solution

The third proportional to 209,355.75 and 299,027.25 is: 427,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,355.75 : 299,027.25 = 299,027.25 : x
  2. Step 2: Convert to fraction form
    209,355.75/299,027.25 = 299,027.25/x
  3. Step 3: Cross multiply
    209,355.75x = 299,027.25 × 299,027.25
  4. Step 4: Simplify right side
    209,355.75x = 89,417,296,242.56
  5. Step 5: Solve for x
    x = 89,417,296,242.56/209,355.75
  6. Step 6: Final answer
    x = 427,106.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.