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Finding the Third Proportional to 65,458 and 102,399

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Solution

The third proportional to 65,458 and 102,399 is: 160,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458 : 102,399 = 102,399 : x
  2. Step 2: Convert to fraction form
    65,458/102,399 = 102,399/x
  3. Step 3: Cross multiply
    65,458x = 102,399 × 102,399
  4. Step 4: Simplify right side
    65,458x = 10,485,555,201
  5. Step 5: Solve for x
    x = 10,485,555,201/65,458
  6. Step 6: Final answer
    x = 160,187.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.