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Finding the Third Proportional to 387,489 and 821,073.75

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Solution

The third proportional to 387,489 and 821,073.75 is: 1,739,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,489 : 821,073.75 = 821,073.75 : x
  2. Step 2: Convert to fraction form
    387,489/821,073.75 = 821,073.75/x
  3. Step 3: Cross multiply
    387,489x = 821,073.75 × 821,073.75
  4. Step 4: Simplify right side
    387,489x = 674,162,102,939.06
  5. Step 5: Solve for x
    x = 674,162,102,939.06/387,489
  6. Step 6: Final answer
    x = 1,739,822.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.