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Finding the Third Proportional to 77,808 and 118,656

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Solution

The third proportional to 77,808 and 118,656 is: 180,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808 : 118,656 = 118,656 : x
  2. Step 2: Convert to fraction form
    77,808/118,656 = 118,656/x
  3. Step 3: Cross multiply
    77,808x = 118,656 × 118,656
  4. Step 4: Simplify right side
    77,808x = 14,079,246,336
  5. Step 5: Solve for x
    x = 14,079,246,336/77,808
  6. Step 6: Final answer
    x = 180,948.57

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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.