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Finding the Third Proportional to 400,556 and 857,972

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Solution

The third proportional to 400,556 and 857,972 is: 1,837,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,556 : 857,972 = 857,972 : x
  2. Step 2: Convert to fraction form
    400,556/857,972 = 857,972/x
  3. Step 3: Cross multiply
    400,556x = 857,972 × 857,972
  4. Step 4: Simplify right side
    400,556x = 736,115,952,784
  5. Step 5: Solve for x
    x = 736,115,952,784/400,556
  6. Step 6: Final answer
    x = 1,837,735.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.