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Finding the Third Proportional to 60,453.84 and 128,109.41

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Solution

The third proportional to 60,453.84 and 128,109.41 is: 271,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,453.84 : 128,109.41 = 128,109.41 : x
  2. Step 2: Convert to fraction form
    60,453.84/128,109.41 = 128,109.41/x
  3. Step 3: Cross multiply
    60,453.84x = 128,109.41 × 128,109.41
  4. Step 4: Simplify right side
    60,453.84x = 16,412,020,970.58
  5. Step 5: Solve for x
    x = 16,412,020,970.58/60,453.84
  6. Step 6: Final answer
    x = 271,480.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.