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Finding the Third Proportional to 116,985 and 177,940

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Solution

The third proportional to 116,985 and 177,940 is: 270,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,985 : 177,940 = 177,940 : x
  2. Step 2: Convert to fraction form
    116,985/177,940 = 177,940/x
  3. Step 3: Cross multiply
    116,985x = 177,940 × 177,940
  4. Step 4: Simplify right side
    116,985x = 31,662,643,600
  5. Step 5: Solve for x
    x = 31,662,643,600/116,985
  6. Step 6: Final answer
    x = 270,655.58

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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.