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Finding the Third Proportional to 79,875 and 121,270.50

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Solution

The third proportional to 79,875 and 121,270.50 is: 184,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,875 : 121,270.50 = 121,270.50 : x
  2. Step 2: Convert to fraction form
    79,875/121,270.50 = 121,270.50/x
  3. Step 3: Cross multiply
    79,875x = 121,270.50 × 121,270.50
  4. Step 4: Simplify right side
    79,875x = 14,706,534,170.25
  5. Step 5: Solve for x
    x = 14,706,534,170.25/79,875
  6. Step 6: Final answer
    x = 184,119.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.