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Finding the Third Proportional to 291,063 and 434,799

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Solution

The third proportional to 291,063 and 434,799 is: 649,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,063 : 434,799 = 434,799 : x
  2. Step 2: Convert to fraction form
    291,063/434,799 = 434,799/x
  3. Step 3: Cross multiply
    291,063x = 434,799 × 434,799
  4. Step 4: Simplify right side
    291,063x = 189,050,170,401
  5. Step 5: Solve for x
    x = 189,050,170,401/291,063
  6. Step 6: Final answer
    x = 649,516.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.