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Finding the Third Proportional to 354,590 and 768,255

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Solution

The third proportional to 354,590 and 768,255 is: 1,664,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,590 : 768,255 = 768,255 : x
  2. Step 2: Convert to fraction form
    354,590/768,255 = 768,255/x
  3. Step 3: Cross multiply
    354,590x = 768,255 × 768,255
  4. Step 4: Simplify right side
    354,590x = 590,215,745,025
  5. Step 5: Solve for x
    x = 590,215,745,025/354,590
  6. Step 6: Final answer
    x = 1,664,501.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.