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Finding the Third Proportional to 77,946 and 117,480

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Solution

The third proportional to 77,946 and 117,480 is: 177,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946 : 117,480 = 117,480 : x
  2. Step 2: Convert to fraction form
    77,946/117,480 = 117,480/x
  3. Step 3: Cross multiply
    77,946x = 117,480 × 117,480
  4. Step 4: Simplify right side
    77,946x = 13,801,550,400
  5. Step 5: Solve for x
    x = 13,801,550,400/77,946
  6. Step 6: Final answer
    x = 177,065.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.