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Finding the Third Proportional to 354,684 and 765,636

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Solution

The third proportional to 354,684 and 765,636 is: 1,652,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,684 : 765,636 = 765,636 : x
  2. Step 2: Convert to fraction form
    354,684/765,636 = 765,636/x
  3. Step 3: Cross multiply
    354,684x = 765,636 × 765,636
  4. Step 4: Simplify right side
    354,684x = 586,198,484,496
  5. Step 5: Solve for x
    x = 586,198,484,496/354,684
  6. Step 6: Final answer
    x = 1,652,734.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.