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Finding the Third Proportional to 373,640 and 809,488

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Solution

The third proportional to 373,640 and 809,488 is: 1,753,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,640 : 809,488 = 809,488 : x
  2. Step 2: Convert to fraction form
    373,640/809,488 = 809,488/x
  3. Step 3: Cross multiply
    373,640x = 809,488 × 809,488
  4. Step 4: Simplify right side
    373,640x = 655,270,822,144
  5. Step 5: Solve for x
    x = 655,270,822,144/373,640
  6. Step 6: Final answer
    x = 1,753,749.12

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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.