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Finding the Third Proportional to 387,658 and 821,346

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Solution

The third proportional to 387,658 and 821,346 is: 1,740,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,658 : 821,346 = 821,346 : x
  2. Step 2: Convert to fraction form
    387,658/821,346 = 821,346/x
  3. Step 3: Cross multiply
    387,658x = 821,346 × 821,346
  4. Step 4: Simplify right side
    387,658x = 674,609,251,716
  5. Step 5: Solve for x
    x = 674,609,251,716/387,658
  6. Step 6: Final answer
    x = 1,740,217.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.