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Finding the Third Proportional to 77,665.50 and 122,757

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Solution

The third proportional to 77,665.50 and 122,757 is: 194,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,665.50 : 122,757 = 122,757 : x
  2. Step 2: Convert to fraction form
    77,665.50/122,757 = 122,757/x
  3. Step 3: Cross multiply
    77,665.50x = 122,757 × 122,757
  4. Step 4: Simplify right side
    77,665.50x = 15,069,281,049
  5. Step 5: Solve for x
    x = 15,069,281,049/77,665.50
  6. Step 6: Final answer
    x = 194,027.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.