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Finding the Third Proportional to 376,867.69 and 812,819.81

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Solution

The third proportional to 376,867.69 and 812,819.81 is: 1,753,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,867.69 : 812,819.81 = 812,819.81 : x
  2. Step 2: Convert to fraction form
    376,867.69/812,819.81 = 812,819.81/x
  3. Step 3: Cross multiply
    376,867.69x = 812,819.81 × 812,819.81
  4. Step 4: Simplify right side
    376,867.69x = 660,676,047,592.54
  5. Step 5: Solve for x
    x = 660,676,047,592.54/376,867.69
  6. Step 6: Final answer
    x = 1,753,071.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.