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Finding the Third Proportional to 72,810 and 159,895

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Solution

The third proportional to 72,810 and 159,895 is: 351,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,810 : 159,895 = 159,895 : x
  2. Step 2: Convert to fraction form
    72,810/159,895 = 159,895/x
  3. Step 3: Cross multiply
    72,810x = 159,895 × 159,895
  4. Step 4: Simplify right side
    72,810x = 25,566,411,025
  5. Step 5: Solve for x
    x = 25,566,411,025/72,810
  6. Step 6: Final answer
    x = 351,138.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.