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Finding the Third Proportional to 445,684 and 690,407

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Solution

The third proportional to 445,684 and 690,407 is: 1,069,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,684 : 690,407 = 690,407 : x
  2. Step 2: Convert to fraction form
    445,684/690,407 = 690,407/x
  3. Step 3: Cross multiply
    445,684x = 690,407 × 690,407
  4. Step 4: Simplify right side
    445,684x = 476,661,825,649
  5. Step 5: Solve for x
    x = 476,661,825,649/445,684
  6. Step 6: Final answer
    x = 1,069,506.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.