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Finding the Third Proportional to 72,859 and 115,853

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Solution

The third proportional to 72,859 and 115,853 is: 184,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,859 : 115,853 = 115,853 : x
  2. Step 2: Convert to fraction form
    72,859/115,853 = 115,853/x
  3. Step 3: Cross multiply
    72,859x = 115,853 × 115,853
  4. Step 4: Simplify right side
    72,859x = 13,421,917,609
  5. Step 5: Solve for x
    x = 13,421,917,609/72,859
  6. Step 6: Final answer
    x = 184,217.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.