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Finding the Third Proportional to 77,803.50 and 127,242

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Solution

The third proportional to 77,803.50 and 127,242 is: 208,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,803.50 : 127,242 = 127,242 : x
  2. Step 2: Convert to fraction form
    77,803.50/127,242 = 127,242/x
  3. Step 3: Cross multiply
    77,803.50x = 127,242 × 127,242
  4. Step 4: Simplify right side
    77,803.50x = 16,190,526,564
  5. Step 5: Solve for x
    x = 16,190,526,564/77,803.50
  6. Step 6: Final answer
    x = 208,095.09

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.