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Finding the Third Proportional to 135,654 and 207,513

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Solution

The third proportional to 135,654 and 207,513 is: 317,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654 : 207,513 = 207,513 : x
  2. Step 2: Convert to fraction form
    135,654/207,513 = 207,513/x
  3. Step 3: Cross multiply
    135,654x = 207,513 × 207,513
  4. Step 4: Simplify right side
    135,654x = 43,061,645,169
  5. Step 5: Solve for x
    x = 43,061,645,169/135,654
  6. Step 6: Final answer
    x = 317,437.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.