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Finding the Third Proportional to 84,125.25 and 140,204.25

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Solution

The third proportional to 84,125.25 and 140,204.25 is: 233,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,125.25 : 140,204.25 = 140,204.25 : x
  2. Step 2: Convert to fraction form
    84,125.25/140,204.25 = 140,204.25/x
  3. Step 3: Cross multiply
    84,125.25x = 140,204.25 × 140,204.25
  4. Step 4: Simplify right side
    84,125.25x = 19,657,231,718.06
  5. Step 5: Solve for x
    x = 19,657,231,718.06/84,125.25
  6. Step 6: Final answer
    x = 233,666.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.