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Finding the Third Proportional to 69,239 and 151,291

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Solution

The third proportional to 69,239 and 151,291 is: 330,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,239 : 151,291 = 151,291 : x
  2. Step 2: Convert to fraction form
    69,239/151,291 = 151,291/x
  3. Step 3: Cross multiply
    69,239x = 151,291 × 151,291
  4. Step 4: Simplify right side
    69,239x = 22,888,966,681
  5. Step 5: Solve for x
    x = 22,888,966,681/69,239
  6. Step 6: Final answer
    x = 330,579.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.