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Finding the Third Proportional to 78,004.50 and 115,859

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Solution

The third proportional to 78,004.50 and 115,859 is: 172,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.50 : 115,859 = 115,859 : x
  2. Step 2: Convert to fraction form
    78,004.50/115,859 = 115,859/x
  3. Step 3: Cross multiply
    78,004.50x = 115,859 × 115,859
  4. Step 4: Simplify right side
    78,004.50x = 13,423,307,881
  5. Step 5: Solve for x
    x = 13,423,307,881/78,004.50
  6. Step 6: Final answer
    x = 172,083.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.