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Finding the Third Proportional to 445,807 and 869,290

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Solution

The third proportional to 445,807 and 869,290 is: 1,695,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,807 : 869,290 = 869,290 : x
  2. Step 2: Convert to fraction form
    445,807/869,290 = 869,290/x
  3. Step 3: Cross multiply
    445,807x = 869,290 × 869,290
  4. Step 4: Simplify right side
    445,807x = 755,665,104,100
  5. Step 5: Solve for x
    x = 755,665,104,100/445,807
  6. Step 6: Final answer
    x = 1,695,049.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.