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Finding the Third Proportional to 402,311 and 837,692

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Solution

The third proportional to 402,311 and 837,692 is: 1,744,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,311 : 837,692 = 837,692 : x
  2. Step 2: Convert to fraction form
    402,311/837,692 = 837,692/x
  3. Step 3: Cross multiply
    402,311x = 837,692 × 837,692
  4. Step 4: Simplify right side
    402,311x = 701,727,886,864
  5. Step 5: Solve for x
    x = 701,727,886,864/402,311
  6. Step 6: Final answer
    x = 1,744,242.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.