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Finding the Third Proportional to 389,269.13 and 836,733.38

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Solution

The third proportional to 389,269.13 and 836,733.38 is: 1,798,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,269.13 : 836,733.38 = 836,733.38 : x
  2. Step 2: Convert to fraction form
    389,269.13/836,733.38 = 836,733.38/x
  3. Step 3: Cross multiply
    389,269.13x = 836,733.38 × 836,733.38
  4. Step 4: Simplify right side
    389,269.13x = 700,122,740,838.89
  5. Step 5: Solve for x
    x = 700,122,740,838.89/389,269.13
  6. Step 6: Final answer
    x = 1,798,557.08

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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.