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Finding the Third Proportional to 387,491 and 821,078

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Solution

The third proportional to 387,491 and 821,078 is: 1,739,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,491 : 821,078 = 821,078 : x
  2. Step 2: Convert to fraction form
    387,491/821,078 = 821,078/x
  3. Step 3: Cross multiply
    387,491x = 821,078 × 821,078
  4. Step 4: Simplify right side
    387,491x = 674,169,082,084
  5. Step 5: Solve for x
    x = 674,169,082,084/387,491
  6. Step 6: Final answer
    x = 1,739,831.59

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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.