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Finding the Third Proportional to 387,010 and 821,040

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Solution

The third proportional to 387,010 and 821,040 is: 1,741,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,010 : 821,040 = 821,040 : x
  2. Step 2: Convert to fraction form
    387,010/821,040 = 821,040/x
  3. Step 3: Cross multiply
    387,010x = 821,040 × 821,040
  4. Step 4: Simplify right side
    387,010x = 674,106,681,600
  5. Step 5: Solve for x
    x = 674,106,681,600/387,010
  6. Step 6: Final answer
    x = 1,741,832.72

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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.