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Finding the Third Proportional to 402,118 and 837,311

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Solution

The third proportional to 402,118 and 837,311 is: 1,743,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,118 : 837,311 = 837,311 : x
  2. Step 2: Convert to fraction form
    402,118/837,311 = 837,311/x
  3. Step 3: Cross multiply
    402,118x = 837,311 × 837,311
  4. Step 4: Simplify right side
    402,118x = 701,089,710,721
  5. Step 5: Solve for x
    x = 701,089,710,721/402,118
  6. Step 6: Final answer
    x = 1,743,492.48

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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.