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Finding the Third Proportional to 140,826.94 and 305,543.81

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Solution

The third proportional to 140,826.94 and 305,543.81 is: 662,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,826.94 : 305,543.81 = 305,543.81 : x
  2. Step 2: Convert to fraction form
    140,826.94/305,543.81 = 305,543.81/x
  3. Step 3: Cross multiply
    140,826.94x = 305,543.81 × 305,543.81
  4. Step 4: Simplify right side
    140,826.94x = 93,357,021,357.04
  5. Step 5: Solve for x
    x = 93,357,021,357.04/140,826.94
  6. Step 6: Final answer
    x = 662,920.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.