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Finding the Third Proportional to 521,004 and 1,135,320

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Solution

The third proportional to 521,004 and 1,135,320 is: 2,473,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,004 : 1,135,320 = 1,135,320 : x
  2. Step 2: Convert to fraction form
    521,004/1,135,320 = 1,135,320/x
  3. Step 3: Cross multiply
    521,004x = 1,135,320 × 1,135,320
  4. Step 4: Simplify right side
    521,004x = 1,288,951,502,400
  5. Step 5: Solve for x
    x = 1,288,951,502,400/521,004
  6. Step 6: Final answer
    x = 2,473,976.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.