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Finding the Third Proportional to 348,517 and 762,643

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Solution

The third proportional to 348,517 and 762,643 is: 1,668,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,517 : 762,643 = 762,643 : x
  2. Step 2: Convert to fraction form
    348,517/762,643 = 762,643/x
  3. Step 3: Cross multiply
    348,517x = 762,643 × 762,643
  4. Step 4: Simplify right side
    348,517x = 581,624,345,449
  5. Step 5: Solve for x
    x = 581,624,345,449/348,517
  6. Step 6: Final answer
    x = 1,668,855.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.