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Finding the Third Proportional to 445,515 and 590,757

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Solution

The third proportional to 445,515 and 590,757 is: 783,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,515 : 590,757 = 590,757 : x
  2. Step 2: Convert to fraction form
    445,515/590,757 = 590,757/x
  3. Step 3: Cross multiply
    445,515x = 590,757 × 590,757
  4. Step 4: Simplify right side
    445,515x = 348,993,833,049
  5. Step 5: Solve for x
    x = 348,993,833,049/445,515
  6. Step 6: Final answer
    x = 783,349.23

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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.