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Finding the Third Proportional to 354,584 and 768,243

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Solution

The third proportional to 354,584 and 768,243 is: 1,664,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,584 : 768,243 = 768,243 : x
  2. Step 2: Convert to fraction form
    354,584/768,243 = 768,243/x
  3. Step 3: Cross multiply
    354,584x = 768,243 × 768,243
  4. Step 4: Simplify right side
    354,584x = 590,197,307,049
  5. Step 5: Solve for x
    x = 590,197,307,049/354,584
  6. Step 6: Final answer
    x = 1,664,478.11

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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.