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Finding the Third Proportional to 77,657 and 117,656

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Solution

The third proportional to 77,657 and 117,656 is: 178,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657 : 117,656 = 117,656 : x
  2. Step 2: Convert to fraction form
    77,657/117,656 = 117,656/x
  3. Step 3: Cross multiply
    77,657x = 117,656 × 117,656
  4. Step 4: Simplify right side
    77,657x = 13,842,934,336
  5. Step 5: Solve for x
    x = 13,842,934,336/77,657
  6. Step 6: Final answer
    x = 178,257.39

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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.