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Finding the Third Proportional to 77,424.19 and 109,031.06

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Solution

The third proportional to 77,424.19 and 109,031.06 is: 153,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.19 : 109,031.06 = 109,031.06 : x
  2. Step 2: Convert to fraction form
    77,424.19/109,031.06 = 109,031.06/x
  3. Step 3: Cross multiply
    77,424.19x = 109,031.06 × 109,031.06
  4. Step 4: Simplify right side
    77,424.19x = 11,887,772,589.88
  5. Step 5: Solve for x
    x = 11,887,772,589.88/77,424.19
  6. Step 6: Final answer
    x = 153,540.81

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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.