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Finding the Third Proportional to 42,309 and 100,239

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Solution

The third proportional to 42,309 and 100,239 is: 237,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309 : 100,239 = 100,239 : x
  2. Step 2: Convert to fraction form
    42,309/100,239 = 100,239/x
  3. Step 3: Cross multiply
    42,309x = 100,239 × 100,239
  4. Step 4: Simplify right side
    42,309x = 10,047,857,121
  5. Step 5: Solve for x
    x = 10,047,857,121/42,309
  6. Step 6: Final answer
    x = 237,487.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.