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Finding the Third Proportional to 135,712 and 199,513

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Solution

The third proportional to 135,712 and 199,513 is: 293,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,712 : 199,513 = 199,513 : x
  2. Step 2: Convert to fraction form
    135,712/199,513 = 199,513/x
  3. Step 3: Cross multiply
    135,712x = 199,513 × 199,513
  4. Step 4: Simplify right side
    135,712x = 39,805,437,169
  5. Step 5: Solve for x
    x = 39,805,437,169/135,712
  6. Step 6: Final answer
    x = 293,308.16

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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.