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Finding the Third Proportional to 77,463 and 109,080

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Solution

The third proportional to 77,463 and 109,080 is: 153,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,463 : 109,080 = 109,080 : x
  2. Step 2: Convert to fraction form
    77,463/109,080 = 109,080/x
  3. Step 3: Cross multiply
    77,463x = 109,080 × 109,080
  4. Step 4: Simplify right side
    77,463x = 11,898,446,400
  5. Step 5: Solve for x
    x = 11,898,446,400/77,463
  6. Step 6: Final answer
    x = 153,601.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.