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Finding the Third Proportional to 84,890 and 114,879

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Solution

The third proportional to 84,890 and 114,879 is: 155,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,890 : 114,879 = 114,879 : x
  2. Step 2: Convert to fraction form
    84,890/114,879 = 114,879/x
  3. Step 3: Cross multiply
    84,890x = 114,879 × 114,879
  4. Step 4: Simplify right side
    84,890x = 13,197,184,641
  5. Step 5: Solve for x
    x = 13,197,184,641/84,890
  6. Step 6: Final answer
    x = 155,462.18

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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.