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Finding the Third Proportional to 291,569 and 435,103

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Solution

The third proportional to 291,569 and 435,103 is: 649,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,569 : 435,103 = 435,103 : x
  2. Step 2: Convert to fraction form
    291,569/435,103 = 435,103/x
  3. Step 3: Cross multiply
    291,569x = 435,103 × 435,103
  4. Step 4: Simplify right side
    291,569x = 189,314,620,609
  5. Step 5: Solve for x
    x = 189,314,620,609/291,569
  6. Step 6: Final answer
    x = 649,296.12

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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.