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Finding the Third Proportional to 290,830 and 434,508

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Solution

The third proportional to 290,830 and 434,508 is: 649,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,830 : 434,508 = 434,508 : x
  2. Step 2: Convert to fraction form
    290,830/434,508 = 434,508/x
  3. Step 3: Cross multiply
    290,830x = 434,508 × 434,508
  4. Step 4: Simplify right side
    290,830x = 188,797,202,064
  5. Step 5: Solve for x
    x = 188,797,202,064/290,830
  6. Step 6: Final answer
    x = 649,166.87

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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.