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Finding the Third Proportional to 134,810 and 207,837

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Solution

The third proportional to 134,810 and 207,837 is: 320,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,810 : 207,837 = 207,837 : x
  2. Step 2: Convert to fraction form
    134,810/207,837 = 207,837/x
  3. Step 3: Cross multiply
    134,810x = 207,837 × 207,837
  4. Step 4: Simplify right side
    134,810x = 43,196,218,569
  5. Step 5: Solve for x
    x = 43,196,218,569/134,810
  6. Step 6: Final answer
    x = 320,422.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.