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Finding the Third Proportional to 121,250.25 and 133,643.25

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Solution

The third proportional to 121,250.25 and 133,643.25 is: 147,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,250.25 : 133,643.25 = 133,643.25 : x
  2. Step 2: Convert to fraction form
    121,250.25/133,643.25 = 133,643.25/x
  3. Step 3: Cross multiply
    121,250.25x = 133,643.25 × 133,643.25
  4. Step 4: Simplify right side
    121,250.25x = 17,860,518,270.56
  5. Step 5: Solve for x
    x = 17,860,518,270.56/121,250.25
  6. Step 6: Final answer
    x = 147,302.94

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.