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Finding the Third Proportional to 401,004 and 862,272

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Solution

The third proportional to 401,004 and 862,272 is: 1,854,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004 : 862,272 = 862,272 : x
  2. Step 2: Convert to fraction form
    401,004/862,272 = 862,272/x
  3. Step 3: Cross multiply
    401,004x = 862,272 × 862,272
  4. Step 4: Simplify right side
    401,004x = 743,513,001,984
  5. Step 5: Solve for x
    x = 743,513,001,984/401,004
  6. Step 6: Final answer
    x = 1,854,128.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.