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Finding the Third Proportional to 64,529 and 141,778

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Solution

The third proportional to 64,529 and 141,778 is: 311,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,529 : 141,778 = 141,778 : x
  2. Step 2: Convert to fraction form
    64,529/141,778 = 141,778/x
  3. Step 3: Cross multiply
    64,529x = 141,778 × 141,778
  4. Step 4: Simplify right side
    64,529x = 20,101,001,284
  5. Step 5: Solve for x
    x = 20,101,001,284/64,529
  6. Step 6: Final answer
    x = 311,503.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.