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Finding the Third Proportional to 69,729 and 143,586

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Solution

The third proportional to 69,729 and 143,586 is: 295,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729 : 143,586 = 143,586 : x
  2. Step 2: Convert to fraction form
    69,729/143,586 = 143,586/x
  3. Step 3: Cross multiply
    69,729x = 143,586 × 143,586
  4. Step 4: Simplify right side
    69,729x = 20,616,939,396
  5. Step 5: Solve for x
    x = 20,616,939,396/69,729
  6. Step 6: Final answer
    x = 295,672.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.