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Finding the Third Proportional to 401,894 and 561,907

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Solution

The third proportional to 401,894 and 561,907 is: 785,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,894 : 561,907 = 561,907 : x
  2. Step 2: Convert to fraction form
    401,894/561,907 = 561,907/x
  3. Step 3: Cross multiply
    401,894x = 561,907 × 561,907
  4. Step 4: Simplify right side
    401,894x = 315,739,476,649
  5. Step 5: Solve for x
    x = 315,739,476,649/401,894
  6. Step 6: Final answer
    x = 785,628.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.