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Finding the Third Proportional to 128,503.13 and 188,372.25

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Solution

The third proportional to 128,503.13 and 188,372.25 is: 276,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,503.13 : 188,372.25 = 188,372.25 : x
  2. Step 2: Convert to fraction form
    128,503.13/188,372.25 = 188,372.25/x
  3. Step 3: Cross multiply
    128,503.13x = 188,372.25 × 188,372.25
  4. Step 4: Simplify right side
    128,503.13x = 35,484,104,570.06
  5. Step 5: Solve for x
    x = 35,484,104,570.06/128,503.13
  6. Step 6: Final answer
    x = 276,134.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.