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Finding the Third Proportional to 291,065 and 434,802

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Solution

The third proportional to 291,065 and 434,802 is: 649,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,065 : 434,802 = 434,802 : x
  2. Step 2: Convert to fraction form
    291,065/434,802 = 434,802/x
  3. Step 3: Cross multiply
    291,065x = 434,802 × 434,802
  4. Step 4: Simplify right side
    291,065x = 189,052,779,204
  5. Step 5: Solve for x
    x = 189,052,779,204/291,065
  6. Step 6: Final answer
    x = 649,520.83

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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.