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Finding the Third Proportional to 76,850 and 117,607

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Solution

The third proportional to 76,850 and 117,607 is: 179,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,850 : 117,607 = 117,607 : x
  2. Step 2: Convert to fraction form
    76,850/117,607 = 117,607/x
  3. Step 3: Cross multiply
    76,850x = 117,607 × 117,607
  4. Step 4: Simplify right side
    76,850x = 13,831,406,449
  5. Step 5: Solve for x
    x = 13,831,406,449/76,850
  6. Step 6: Final answer
    x = 179,979.26

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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.