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Finding the Third Proportional to 291,339 and 435,722

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Solution

The third proportional to 291,339 and 435,722 is: 651,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,339 : 435,722 = 435,722 : x
  2. Step 2: Convert to fraction form
    291,339/435,722 = 435,722/x
  3. Step 3: Cross multiply
    291,339x = 435,722 × 435,722
  4. Step 4: Simplify right side
    291,339x = 189,853,661,284
  5. Step 5: Solve for x
    x = 189,853,661,284/291,339
  6. Step 6: Final answer
    x = 651,658.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.