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Finding the Third Proportional to 141,323 and 289,126

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Solution

The third proportional to 141,323 and 289,126 is: 591,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,323 : 289,126 = 289,126 : x
  2. Step 2: Convert to fraction form
    141,323/289,126 = 289,126/x
  3. Step 3: Cross multiply
    141,323x = 289,126 × 289,126
  4. Step 4: Simplify right side
    141,323x = 83,593,843,876
  5. Step 5: Solve for x
    x = 83,593,843,876/141,323
  6. Step 6: Final answer
    x = 591,509.12

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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.