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Finding the Third Proportional to 389,664 and 837,560

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Solution

The third proportional to 389,664 and 837,560 is: 1,800,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,664 : 837,560 = 837,560 : x
  2. Step 2: Convert to fraction form
    389,664/837,560 = 837,560/x
  3. Step 3: Cross multiply
    389,664x = 837,560 × 837,560
  4. Step 4: Simplify right side
    389,664x = 701,506,753,600
  5. Step 5: Solve for x
    x = 701,506,753,600/389,664
  6. Step 6: Final answer
    x = 1,800,286.28

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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.