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Finding the Third Proportional to 77,076 and 115,299

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Solution

The third proportional to 77,076 and 115,299 is: 172,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076 : 115,299 = 115,299 : x
  2. Step 2: Convert to fraction form
    77,076/115,299 = 115,299/x
  3. Step 3: Cross multiply
    77,076x = 115,299 × 115,299
  4. Step 4: Simplify right side
    77,076x = 13,293,859,401
  5. Step 5: Solve for x
    x = 13,293,859,401/77,076
  6. Step 6: Final answer
    x = 172,477.29

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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.