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Finding the Third Proportional to 77,600 and 118,656

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Solution

The third proportional to 77,600 and 118,656 is: 181,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,600 : 118,656 = 118,656 : x
  2. Step 2: Convert to fraction form
    77,600/118,656 = 118,656/x
  3. Step 3: Cross multiply
    77,600x = 118,656 × 118,656
  4. Step 4: Simplify right side
    77,600x = 14,079,246,336
  5. Step 5: Solve for x
    x = 14,079,246,336/77,600
  6. Step 6: Final answer
    x = 181,433.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.