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Finding the Third Proportional to 389,720 and 837,455

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Solution

The third proportional to 389,720 and 837,455 is: 1,799,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,720 : 837,455 = 837,455 : x
  2. Step 2: Convert to fraction form
    389,720/837,455 = 837,455/x
  3. Step 3: Cross multiply
    389,720x = 837,455 × 837,455
  4. Step 4: Simplify right side
    389,720x = 701,330,877,025
  5. Step 5: Solve for x
    x = 701,330,877,025/389,720
  6. Step 6: Final answer
    x = 1,799,576.30

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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.