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Finding the Third Proportional to 77,712 and 118,086

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Solution

The third proportional to 77,712 and 118,086 is: 179,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 118,086 = 118,086 : x
  2. Step 2: Convert to fraction form
    77,712/118,086 = 118,086/x
  3. Step 3: Cross multiply
    77,712x = 118,086 × 118,086
  4. Step 4: Simplify right side
    77,712x = 13,944,303,396
  5. Step 5: Solve for x
    x = 13,944,303,396/77,712
  6. Step 6: Final answer
    x = 179,435.65

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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.