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Finding the Third Proportional to 77,949 and 121,486.50

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Solution

The third proportional to 77,949 and 121,486.50 is: 189,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,949 : 121,486.50 = 121,486.50 : x
  2. Step 2: Convert to fraction form
    77,949/121,486.50 = 121,486.50/x
  3. Step 3: Cross multiply
    77,949x = 121,486.50 × 121,486.50
  4. Step 4: Simplify right side
    77,949x = 14,758,969,682.25
  5. Step 5: Solve for x
    x = 14,758,969,682.25/77,949
  6. Step 6: Final answer
    x = 189,341.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.