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Finding the Third Proportional to 77,574 and 117,936

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Solution

The third proportional to 77,574 and 117,936 is: 179,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574 : 117,936 = 117,936 : x
  2. Step 2: Convert to fraction form
    77,574/117,936 = 117,936/x
  3. Step 3: Cross multiply
    77,574x = 117,936 × 117,936
  4. Step 4: Simplify right side
    77,574x = 13,908,900,096
  5. Step 5: Solve for x
    x = 13,908,900,096/77,574
  6. Step 6: Final answer
    x = 179,298.48

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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.