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Finding the Third Proportional to 109,057 and 235,299

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Solution

The third proportional to 109,057 and 235,299 is: 507,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,057 : 235,299 = 235,299 : x
  2. Step 2: Convert to fraction form
    109,057/235,299 = 235,299/x
  3. Step 3: Cross multiply
    109,057x = 235,299 × 235,299
  4. Step 4: Simplify right side
    109,057x = 55,365,619,401
  5. Step 5: Solve for x
    x = 55,365,619,401/109,057
  6. Step 6: Final answer
    x = 507,675.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.