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Finding the Third Proportional to 128,270.25 and 197,326.13

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Solution

The third proportional to 128,270.25 and 197,326.13 is: 303,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,270.25 : 197,326.13 = 197,326.13 : x
  2. Step 2: Convert to fraction form
    128,270.25/197,326.13 = 197,326.13/x
  3. Step 3: Cross multiply
    128,270.25x = 197,326.13 × 197,326.13
  4. Step 4: Simplify right side
    128,270.25x = 38,937,599,607.52
  5. Step 5: Solve for x
    x = 38,937,599,607.52/128,270.25
  6. Step 6: Final answer
    x = 303,559.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.