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Finding the Third Proportional to 669,820.50 and 966,498.75

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Solution

The third proportional to 669,820.50 and 966,498.75 is: 1,394,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,820.50 : 966,498.75 = 966,498.75 : x
  2. Step 2: Convert to fraction form
    669,820.50/966,498.75 = 966,498.75/x
  3. Step 3: Cross multiply
    669,820.50x = 966,498.75 × 966,498.75
  4. Step 4: Simplify right side
    669,820.50x = 934,119,833,751.56
  5. Step 5: Solve for x
    x = 934,119,833,751.56/669,820.50
  6. Step 6: Final answer
    x = 1,394,582.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.