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Finding the Third Proportional to 401,840 and 606,836

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Solution

The third proportional to 401,840 and 606,836 is: 916,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,840 : 606,836 = 606,836 : x
  2. Step 2: Convert to fraction form
    401,840/606,836 = 606,836/x
  3. Step 3: Cross multiply
    401,840x = 606,836 × 606,836
  4. Step 4: Simplify right side
    401,840x = 368,249,930,896
  5. Step 5: Solve for x
    x = 368,249,930,896/401,840
  6. Step 6: Final answer
    x = 916,409.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.