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Finding the Third Proportional to 579,105 and 873,213

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Solution

The third proportional to 579,105 and 873,213 is: 1,316,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,105 : 873,213 = 873,213 : x
  2. Step 2: Convert to fraction form
    579,105/873,213 = 873,213/x
  3. Step 3: Cross multiply
    579,105x = 873,213 × 873,213
  4. Step 4: Simplify right side
    579,105x = 762,500,943,369
  5. Step 5: Solve for x
    x = 762,500,943,369/579,105
  6. Step 6: Final answer
    x = 1,316,688.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.