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Finding the Third Proportional to 138,190 and 295,340

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Solution

The third proportional to 138,190 and 295,340 is: 631,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,190 : 295,340 = 295,340 : x
  2. Step 2: Convert to fraction form
    138,190/295,340 = 295,340/x
  3. Step 3: Cross multiply
    138,190x = 295,340 × 295,340
  4. Step 4: Simplify right side
    138,190x = 87,225,715,600
  5. Step 5: Solve for x
    x = 87,225,715,600/138,190
  6. Step 6: Final answer
    x = 631,201.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.