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Finding the Third Proportional to 401,836 and 606,830

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Solution

The third proportional to 401,836 and 606,830 is: 916,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,836 : 606,830 = 606,830 : x
  2. Step 2: Convert to fraction form
    401,836/606,830 = 606,830/x
  3. Step 3: Cross multiply
    401,836x = 606,830 × 606,830
  4. Step 4: Simplify right side
    401,836x = 368,242,648,900
  5. Step 5: Solve for x
    x = 368,242,648,900/401,836
  6. Step 6: Final answer
    x = 916,400.34

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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.