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Finding the Third Proportional to 279,028 and 604,416

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Solution

The third proportional to 279,028 and 604,416 is: 1,309,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,028 : 604,416 = 604,416 : x
  2. Step 2: Convert to fraction form
    279,028/604,416 = 604,416/x
  3. Step 3: Cross multiply
    279,028x = 604,416 × 604,416
  4. Step 4: Simplify right side
    279,028x = 365,318,701,056
  5. Step 5: Solve for x
    x = 365,318,701,056/279,028
  6. Step 6: Final answer
    x = 1,309,254.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.