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Finding the Third Proportional to 77,428 and 109,039

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Solution

The third proportional to 77,428 and 109,039 is: 153,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,428 : 109,039 = 109,039 : x
  2. Step 2: Convert to fraction form
    77,428/109,039 = 109,039/x
  3. Step 3: Cross multiply
    77,428x = 109,039 × 109,039
  4. Step 4: Simplify right side
    77,428x = 11,889,503,521
  5. Step 5: Solve for x
    x = 11,889,503,521/77,428
  6. Step 6: Final answer
    x = 153,555.61

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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.