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Finding the Third Proportional to 79,780 and 121,328

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Solution

The third proportional to 79,780 and 121,328 is: 184,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,780 : 121,328 = 121,328 : x
  2. Step 2: Convert to fraction form
    79,780/121,328 = 121,328/x
  3. Step 3: Cross multiply
    79,780x = 121,328 × 121,328
  4. Step 4: Simplify right side
    79,780x = 14,720,483,584
  5. Step 5: Solve for x
    x = 14,720,483,584/79,780
  6. Step 6: Final answer
    x = 184,513.46

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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.