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Finding the Third Proportional to 387,554 and 834,484

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Solution

The third proportional to 387,554 and 834,484 is: 1,796,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,554 : 834,484 = 834,484 : x
  2. Step 2: Convert to fraction form
    387,554/834,484 = 834,484/x
  3. Step 3: Cross multiply
    387,554x = 834,484 × 834,484
  4. Step 4: Simplify right side
    387,554x = 696,363,546,256
  5. Step 5: Solve for x
    x = 696,363,546,256/387,554
  6. Step 6: Final answer
    x = 1,796,816.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.