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Finding the Third Proportional to 288,916 and 623,515

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Solution

The third proportional to 288,916 and 623,515 is: 1,345,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,916 : 623,515 = 623,515 : x
  2. Step 2: Convert to fraction form
    288,916/623,515 = 623,515/x
  3. Step 3: Cross multiply
    288,916x = 623,515 × 623,515
  4. Step 4: Simplify right side
    288,916x = 388,770,955,225
  5. Step 5: Solve for x
    x = 388,770,955,225/288,916
  6. Step 6: Final answer
    x = 1,345,619.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.