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Finding the Third Proportional to 77,421 and 109,026

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Solution

The third proportional to 77,421 and 109,026 is: 153,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,421 : 109,026 = 109,026 : x
  2. Step 2: Convert to fraction form
    77,421/109,026 = 109,026/x
  3. Step 3: Cross multiply
    77,421x = 109,026 × 109,026
  4. Step 4: Simplify right side
    77,421x = 11,886,668,676
  5. Step 5: Solve for x
    x = 11,886,668,676/77,421
  6. Step 6: Final answer
    x = 153,532.87

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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.