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Finding the Third Proportional to 374,416 and 821,408

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Solution

The third proportional to 374,416 and 821,408 is: 1,802,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,416 : 821,408 = 821,408 : x
  2. Step 2: Convert to fraction form
    374,416/821,408 = 821,408/x
  3. Step 3: Cross multiply
    374,416x = 821,408 × 821,408
  4. Step 4: Simplify right side
    374,416x = 674,711,102,464
  5. Step 5: Solve for x
    x = 674,711,102,464/374,416
  6. Step 6: Final answer
    x = 1,802,035.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.