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Finding the Third Proportional to 59,699 and 129,238

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Solution

The third proportional to 59,699 and 129,238 is: 279,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,699 : 129,238 = 129,238 : x
  2. Step 2: Convert to fraction form
    59,699/129,238 = 129,238/x
  3. Step 3: Cross multiply
    59,699x = 129,238 × 129,238
  4. Step 4: Simplify right side
    59,699x = 16,702,460,644
  5. Step 5: Solve for x
    x = 16,702,460,644/59,699
  6. Step 6: Final answer
    x = 279,777.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.