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Finding the Third Proportional to 100,620 and 209,574

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Solution

The third proportional to 100,620 and 209,574 is: 436,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,620 : 209,574 = 209,574 : x
  2. Step 2: Convert to fraction form
    100,620/209,574 = 209,574/x
  3. Step 3: Cross multiply
    100,620x = 209,574 × 209,574
  4. Step 4: Simplify right side
    100,620x = 43,921,261,476
  5. Step 5: Solve for x
    x = 43,921,261,476/100,620
  6. Step 6: Final answer
    x = 436,506.28

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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.