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Finding the Third Proportional to 389,697.38 and 837,410.81

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Solution

The third proportional to 389,697.38 and 837,410.81 is: 1,799,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,697.38 : 837,410.81 = 837,410.81 : x
  2. Step 2: Convert to fraction form
    389,697.38/837,410.81 = 837,410.81/x
  3. Step 3: Cross multiply
    389,697.38x = 837,410.81 × 837,410.81
  4. Step 4: Simplify right side
    389,697.38x = 701,256,868,891.91
  5. Step 5: Solve for x
    x = 701,256,868,891.91/389,697.38
  6. Step 6: Final answer
    x = 1,799,490.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.