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Finding the Third Proportional to 407,760 and 599,640

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Solution

The third proportional to 407,760 and 599,640 is: 881,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,760 : 599,640 = 599,640 : x
  2. Step 2: Convert to fraction form
    407,760/599,640 = 599,640/x
  3. Step 3: Cross multiply
    407,760x = 599,640 × 599,640
  4. Step 4: Simplify right side
    407,760x = 359,568,129,600
  5. Step 5: Solve for x
    x = 359,568,129,600/407,760
  6. Step 6: Final answer
    x = 881,813.15

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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.