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Finding the Third Proportional to 138,118 and 297,971

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Solution

The third proportional to 138,118 and 297,971 is: 642,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,118 : 297,971 = 297,971 : x
  2. Step 2: Convert to fraction form
    138,118/297,971 = 297,971/x
  3. Step 3: Cross multiply
    138,118x = 297,971 × 297,971
  4. Step 4: Simplify right side
    138,118x = 88,786,716,841
  5. Step 5: Solve for x
    x = 88,786,716,841/138,118
  6. Step 6: Final answer
    x = 642,832.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.