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Finding the Third Proportional to 353,921 and 757,663

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Solution

The third proportional to 353,921 and 757,663 is: 1,621,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,921 : 757,663 = 757,663 : x
  2. Step 2: Convert to fraction form
    353,921/757,663 = 757,663/x
  3. Step 3: Cross multiply
    353,921x = 757,663 × 757,663
  4. Step 4: Simplify right side
    353,921x = 574,053,221,569
  5. Step 5: Solve for x
    x = 574,053,221,569/353,921
  6. Step 6: Final answer
    x = 1,621,981.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.