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Finding the Third Proportional to 65,625 and 140,586

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Solution

The third proportional to 65,625 and 140,586 is: 301,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,625 : 140,586 = 140,586 : x
  2. Step 2: Convert to fraction form
    65,625/140,586 = 140,586/x
  3. Step 3: Cross multiply
    65,625x = 140,586 × 140,586
  4. Step 4: Simplify right side
    65,625x = 19,764,423,396
  5. Step 5: Solve for x
    x = 19,764,423,396/65,625
  6. Step 6: Final answer
    x = 301,172.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.