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Finding the Third Proportional to 389,440 and 837,050

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Solution

The third proportional to 389,440 and 837,050 is: 1,799,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,440 : 837,050 = 837,050 : x
  2. Step 2: Convert to fraction form
    389,440/837,050 = 837,050/x
  3. Step 3: Cross multiply
    389,440x = 837,050 × 837,050
  4. Step 4: Simplify right side
    389,440x = 700,652,702,500
  5. Step 5: Solve for x
    x = 700,652,702,500/389,440
  6. Step 6: Final answer
    x = 1,799,128.76

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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.