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Finding the Third Proportional to 298,209 and 621,566

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Solution

The third proportional to 298,209 and 621,566 is: 1,295,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209 : 621,566 = 621,566 : x
  2. Step 2: Convert to fraction form
    298,209/621,566 = 621,566/x
  3. Step 3: Cross multiply
    298,209x = 621,566 × 621,566
  4. Step 4: Simplify right side
    298,209x = 386,344,292,356
  5. Step 5: Solve for x
    x = 386,344,292,356/298,209
  6. Step 6: Final answer
    x = 1,295,548.73

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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.