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Finding the Third Proportional to 76,998 and 115,184

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Solution

The third proportional to 76,998 and 115,184 is: 172,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,998 : 115,184 = 115,184 : x
  2. Step 2: Convert to fraction form
    76,998/115,184 = 115,184/x
  3. Step 3: Cross multiply
    76,998x = 115,184 × 115,184
  4. Step 4: Simplify right side
    76,998x = 13,267,353,856
  5. Step 5: Solve for x
    x = 13,267,353,856/76,998
  6. Step 6: Final answer
    x = 172,307.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.