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Finding the Third Proportional to 389,657.25 and 837,543.38

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Solution

The third proportional to 389,657.25 and 837,543.38 is: 1,800,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,657.25 : 837,543.38 = 837,543.38 : x
  2. Step 2: Convert to fraction form
    389,657.25/837,543.38 = 837,543.38/x
  3. Step 3: Cross multiply
    389,657.25x = 837,543.38 × 837,543.38
  4. Step 4: Simplify right side
    389,657.25x = 701,478,905,006.39
  5. Step 5: Solve for x
    x = 701,478,905,006.39/389,657.25
  6. Step 6: Final answer
    x = 1,800,246.00

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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.