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Finding the Third Proportional to 209,990 and 460,807

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Solution

The third proportional to 209,990 and 460,807 is: 1,011,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,990 : 460,807 = 460,807 : x
  2. Step 2: Convert to fraction form
    209,990/460,807 = 460,807/x
  3. Step 3: Cross multiply
    209,990x = 460,807 × 460,807
  4. Step 4: Simplify right side
    209,990x = 212,343,091,249
  5. Step 5: Solve for x
    x = 212,343,091,249/209,990
  6. Step 6: Final answer
    x = 1,011,205.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.