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Finding the Third Proportional to 298,350 and 621,726

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Solution

The third proportional to 298,350 and 621,726 is: 1,295,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,350 : 621,726 = 621,726 : x
  2. Step 2: Convert to fraction form
    298,350/621,726 = 621,726/x
  3. Step 3: Cross multiply
    298,350x = 621,726 × 621,726
  4. Step 4: Simplify right side
    298,350x = 386,543,219,076
  5. Step 5: Solve for x
    x = 386,543,219,076/298,350
  6. Step 6: Final answer
    x = 1,295,603.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.