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Finding the Third Proportional to 384,122 and 509,718

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Solution

The third proportional to 384,122 and 509,718 is: 676,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,122 : 509,718 = 509,718 : x
  2. Step 2: Convert to fraction form
    384,122/509,718 = 509,718/x
  3. Step 3: Cross multiply
    384,122x = 509,718 × 509,718
  4. Step 4: Simplify right side
    384,122x = 259,812,439,524
  5. Step 5: Solve for x
    x = 259,812,439,524/384,122
  6. Step 6: Final answer
    x = 676,380.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.