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Finding the Third Proportional to 77,789.81 and 120,140.44

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Solution

The third proportional to 77,789.81 and 120,140.44 is: 185,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,789.81 : 120,140.44 = 120,140.44 : x
  2. Step 2: Convert to fraction form
    77,789.81/120,140.44 = 120,140.44/x
  3. Step 3: Cross multiply
    77,789.81x = 120,140.44 × 120,140.44
  4. Step 4: Simplify right side
    77,789.81x = 14,433,724,722.69
  5. Step 5: Solve for x
    x = 14,433,724,722.69/77,789.81
  6. Step 6: Final answer
    x = 185,547.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.