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Finding the Third Proportional to 70,371.84 and 109,128.09

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Solution

The third proportional to 70,371.84 and 109,128.09 is: 169,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,371.84 : 109,128.09 = 109,128.09 : x
  2. Step 2: Convert to fraction form
    70,371.84/109,128.09 = 109,128.09/x
  3. Step 3: Cross multiply
    70,371.84x = 109,128.09 × 109,128.09
  4. Step 4: Simplify right side
    70,371.84x = 11,908,940,845.51
  5. Step 5: Solve for x
    x = 11,908,940,845.51/70,371.84
  6. Step 6: Final answer
    x = 169,228.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.