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Finding the Third Proportional to 402,122 and 837,319

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Solution

The third proportional to 402,122 and 837,319 is: 1,743,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,122 : 837,319 = 837,319 : x
  2. Step 2: Convert to fraction form
    402,122/837,319 = 837,319/x
  3. Step 3: Cross multiply
    402,122x = 837,319 × 837,319
  4. Step 4: Simplify right side
    402,122x = 701,103,107,761
  5. Step 5: Solve for x
    x = 701,103,107,761/402,122
  6. Step 6: Final answer
    x = 1,743,508.46

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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.