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Finding the Third Proportional to 141,321 and 289,122

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Solution

The third proportional to 141,321 and 289,122 is: 591,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,321 : 289,122 = 289,122 : x
  2. Step 2: Convert to fraction form
    141,321/289,122 = 289,122/x
  3. Step 3: Cross multiply
    141,321x = 289,122 × 289,122
  4. Step 4: Simplify right side
    141,321x = 83,591,530,884
  5. Step 5: Solve for x
    x = 83,591,530,884/141,321
  6. Step 6: Final answer
    x = 591,501.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.