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Finding the Third Proportional to 344,570 and 505,515

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Solution

The third proportional to 344,570 and 505,515 is: 741,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,570 : 505,515 = 505,515 : x
  2. Step 2: Convert to fraction form
    344,570/505,515 = 505,515/x
  3. Step 3: Cross multiply
    344,570x = 505,515 × 505,515
  4. Step 4: Simplify right side
    344,570x = 255,545,415,225
  5. Step 5: Solve for x
    x = 255,545,415,225/344,570
  6. Step 6: Final answer
    x = 741,635.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.