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Finding the Third Proportional to 135,709 and 199,509

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Solution

The third proportional to 135,709 and 199,509 is: 293,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,709 : 199,509 = 199,509 : x
  2. Step 2: Convert to fraction form
    135,709/199,509 = 199,509/x
  3. Step 3: Cross multiply
    135,709x = 199,509 × 199,509
  4. Step 4: Simplify right side
    135,709x = 39,803,841,081
  5. Step 5: Solve for x
    x = 39,803,841,081/135,709
  6. Step 6: Final answer
    x = 293,302.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.