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Finding the Third Proportional to 621,065 and 1,330,663

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Solution

The third proportional to 621,065 and 1,330,663 is: 2,851,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,065 : 1,330,663 = 1,330,663 : x
  2. Step 2: Convert to fraction form
    621,065/1,330,663 = 1,330,663/x
  3. Step 3: Cross multiply
    621,065x = 1,330,663 × 1,330,663
  4. Step 4: Simplify right side
    621,065x = 1,770,664,019,569
  5. Step 5: Solve for x
    x = 1,770,664,019,569/621,065
  6. Step 6: Final answer
    x = 2,851,012.41

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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.