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Finding the Third Proportional to 84,809 and 115,178

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Solution

The third proportional to 84,809 and 115,178 is: 156,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,809 : 115,178 = 115,178 : x
  2. Step 2: Convert to fraction form
    84,809/115,178 = 115,178/x
  3. Step 3: Cross multiply
    84,809x = 115,178 × 115,178
  4. Step 4: Simplify right side
    84,809x = 13,265,971,684
  5. Step 5: Solve for x
    x = 13,265,971,684/84,809
  6. Step 6: Final answer
    x = 156,421.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.