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Finding the Third Proportional to 349,616 and 762,720

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Solution

The third proportional to 349,616 and 762,720 is: 1,663,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,616 : 762,720 = 762,720 : x
  2. Step 2: Convert to fraction form
    349,616/762,720 = 762,720/x
  3. Step 3: Cross multiply
    349,616x = 762,720 × 762,720
  4. Step 4: Simplify right side
    349,616x = 581,741,798,400
  5. Step 5: Solve for x
    x = 581,741,798,400/349,616
  6. Step 6: Final answer
    x = 1,663,945.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.