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Finding the Third Proportional to 432,255 and 694,518

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Solution

The third proportional to 432,255 and 694,518 is: 1,115,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,255 : 694,518 = 694,518 : x
  2. Step 2: Convert to fraction form
    432,255/694,518 = 694,518/x
  3. Step 3: Cross multiply
    432,255x = 694,518 × 694,518
  4. Step 4: Simplify right side
    432,255x = 482,355,252,324
  5. Step 5: Solve for x
    x = 482,355,252,324/432,255
  6. Step 6: Final answer
    x = 1,115,904.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.