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Finding the Third Proportional to 135,729 and 207,252

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Solution

The third proportional to 135,729 and 207,252 is: 316,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729 : 207,252 = 207,252 : x
  2. Step 2: Convert to fraction form
    135,729/207,252 = 207,252/x
  3. Step 3: Cross multiply
    135,729x = 207,252 × 207,252
  4. Step 4: Simplify right side
    135,729x = 42,953,391,504
  5. Step 5: Solve for x
    x = 42,953,391,504/135,729
  6. Step 6: Final answer
    x = 316,464.36

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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.