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Finding the Third Proportional to 368,286 and 557,410

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Solution

The third proportional to 368,286 and 557,410 is: 843,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,286 : 557,410 = 557,410 : x
  2. Step 2: Convert to fraction form
    368,286/557,410 = 557,410/x
  3. Step 3: Cross multiply
    368,286x = 557,410 × 557,410
  4. Step 4: Simplify right side
    368,286x = 310,705,908,100
  5. Step 5: Solve for x
    x = 310,705,908,100/368,286
  6. Step 6: Final answer
    x = 843,653.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.