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Finding the Third Proportional to 135,009 and 213,507

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Solution

The third proportional to 135,009 and 213,507 is: 337,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,009 : 213,507 = 213,507 : x
  2. Step 2: Convert to fraction form
    135,009/213,507 = 213,507/x
  3. Step 3: Cross multiply
    135,009x = 213,507 × 213,507
  4. Step 4: Simplify right side
    135,009x = 45,585,239,049
  5. Step 5: Solve for x
    x = 45,585,239,049/135,009
  6. Step 6: Final answer
    x = 337,645.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.