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Finding the Third Proportional to 77,987.25 and 117,682.88

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Solution

The third proportional to 77,987.25 and 117,682.88 is: 177,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,987.25 : 117,682.88 = 117,682.88 : x
  2. Step 2: Convert to fraction form
    77,987.25/117,682.88 = 117,682.88/x
  3. Step 3: Cross multiply
    77,987.25x = 117,682.88 × 117,682.88
  4. Step 4: Simplify right side
    77,987.25x = 13,849,259,068.27
  5. Step 5: Solve for x
    x = 13,849,259,068.27/77,987.25
  6. Step 6: Final answer
    x = 177,583.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.