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Finding the Third Proportional to 65,773 and 142,634

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Solution

The third proportional to 65,773 and 142,634 is: 309,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,773 : 142,634 = 142,634 : x
  2. Step 2: Convert to fraction form
    65,773/142,634 = 142,634/x
  3. Step 3: Cross multiply
    65,773x = 142,634 × 142,634
  4. Step 4: Simplify right side
    65,773x = 20,344,457,956
  5. Step 5: Solve for x
    x = 20,344,457,956/65,773
  6. Step 6: Final answer
    x = 309,313.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.