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Finding the Third Proportional to 84,979 and 115,004

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Solution

The third proportional to 84,979 and 115,004 is: 155,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,979 : 115,004 = 115,004 : x
  2. Step 2: Convert to fraction form
    84,979/115,004 = 115,004/x
  3. Step 3: Cross multiply
    84,979x = 115,004 × 115,004
  4. Step 4: Simplify right side
    84,979x = 13,225,920,016
  5. Step 5: Solve for x
    x = 13,225,920,016/84,979
  6. Step 6: Final answer
    x = 155,637.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.