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Finding the Third Proportional to 77,946 and 117,909

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Solution

The third proportional to 77,946 and 117,909 is: 178,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946 : 117,909 = 117,909 : x
  2. Step 2: Convert to fraction form
    77,946/117,909 = 117,909/x
  3. Step 3: Cross multiply
    77,946x = 117,909 × 117,909
  4. Step 4: Simplify right side
    77,946x = 13,902,532,281
  5. Step 5: Solve for x
    x = 13,902,532,281/77,946
  6. Step 6: Final answer
    x = 178,361.07

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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.