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Finding the Third Proportional to 138,042 and 295,770

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Solution

The third proportional to 138,042 and 295,770 is: 633,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,042 : 295,770 = 295,770 : x
  2. Step 2: Convert to fraction form
    138,042/295,770 = 295,770/x
  3. Step 3: Cross multiply
    138,042x = 295,770 × 295,770
  4. Step 4: Simplify right side
    138,042x = 87,479,892,900
  5. Step 5: Solve for x
    x = 87,479,892,900/138,042
  6. Step 6: Final answer
    x = 633,719.40

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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.