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Finding the Third Proportional to 77,036 and 165,688

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Solution

The third proportional to 77,036 and 165,688 is: 356,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,036 : 165,688 = 165,688 : x
  2. Step 2: Convert to fraction form
    77,036/165,688 = 165,688/x
  3. Step 3: Cross multiply
    77,036x = 165,688 × 165,688
  4. Step 4: Simplify right side
    77,036x = 27,452,513,344
  5. Step 5: Solve for x
    x = 27,452,513,344/77,036
  6. Step 6: Final answer
    x = 356,359.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.