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Finding the Third Proportional to 407,744 and 623,328

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Solution

The third proportional to 407,744 and 623,328 is: 952,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,744 : 623,328 = 623,328 : x
  2. Step 2: Convert to fraction form
    407,744/623,328 = 623,328/x
  3. Step 3: Cross multiply
    407,744x = 623,328 × 623,328
  4. Step 4: Simplify right side
    407,744x = 388,537,795,584
  5. Step 5: Solve for x
    x = 388,537,795,584/407,744
  6. Step 6: Final answer
    x = 952,896.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.