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Finding the Third Proportional to 77,423 and 109,029

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Solution

The third proportional to 77,423 and 109,029 is: 153,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,423 : 109,029 = 109,029 : x
  2. Step 2: Convert to fraction form
    77,423/109,029 = 109,029/x
  3. Step 3: Cross multiply
    77,423x = 109,029 × 109,029
  4. Step 4: Simplify right side
    77,423x = 11,887,322,841
  5. Step 5: Solve for x
    x = 11,887,322,841/77,423
  6. Step 6: Final answer
    x = 153,537.36

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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.