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Finding the Third Proportional to 436,643 and 694,330

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Solution

The third proportional to 436,643 and 694,330 is: 1,104,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,643 : 694,330 = 694,330 : x
  2. Step 2: Convert to fraction form
    436,643/694,330 = 694,330/x
  3. Step 3: Cross multiply
    436,643x = 694,330 × 694,330
  4. Step 4: Simplify right side
    436,643x = 482,094,148,900
  5. Step 5: Solve for x
    x = 482,094,148,900/436,643
  6. Step 6: Final answer
    x = 1,104,092.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.