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Finding the Third Proportional to 78,309 and 119,299

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Solution

The third proportional to 78,309 and 119,299 is: 181,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,309 : 119,299 = 119,299 : x
  2. Step 2: Convert to fraction form
    78,309/119,299 = 119,299/x
  3. Step 3: Cross multiply
    78,309x = 119,299 × 119,299
  4. Step 4: Simplify right side
    78,309x = 14,232,251,401
  5. Step 5: Solve for x
    x = 14,232,251,401/78,309
  6. Step 6: Final answer
    x = 181,744.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.