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Finding the Third Proportional to 604,405 and 821,331

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Solution

The third proportional to 604,405 and 821,331 is: 1,116,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,405 : 821,331 = 821,331 : x
  2. Step 2: Convert to fraction form
    604,405/821,331 = 821,331/x
  3. Step 3: Cross multiply
    604,405x = 821,331 × 821,331
  4. Step 4: Simplify right side
    604,405x = 674,584,611,561
  5. Step 5: Solve for x
    x = 674,584,611,561/604,405
  6. Step 6: Final answer
    x = 1,116,113.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.