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Finding the Third Proportional to 389,696.75 and 837,410

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Solution

The third proportional to 389,696.75 and 837,410 is: 1,799,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,696.75 : 837,410 = 837,410 : x
  2. Step 2: Convert to fraction form
    389,696.75/837,410 = 837,410/x
  3. Step 3: Cross multiply
    389,696.75x = 837,410 × 837,410
  4. Step 4: Simplify right side
    389,696.75x = 701,255,508,100
  5. Step 5: Solve for x
    x = 701,255,508,100/389,696.75
  6. Step 6: Final answer
    x = 1,799,490.27

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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.