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Finding the Third Proportional to 99,139 and 207,971

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Solution

The third proportional to 99,139 and 207,971 is: 436,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,139 : 207,971 = 207,971 : x
  2. Step 2: Convert to fraction form
    99,139/207,971 = 207,971/x
  3. Step 3: Cross multiply
    99,139x = 207,971 × 207,971
  4. Step 4: Simplify right side
    99,139x = 43,251,936,841
  5. Step 5: Solve for x
    x = 43,251,936,841/99,139
  6. Step 6: Final answer
    x = 436,275.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.