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Finding the Third Proportional to 388,720 and 599,685

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Solution

The third proportional to 388,720 and 599,685 is: 925,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,720 : 599,685 = 599,685 : x
  2. Step 2: Convert to fraction form
    388,720/599,685 = 599,685/x
  3. Step 3: Cross multiply
    388,720x = 599,685 × 599,685
  4. Step 4: Simplify right side
    388,720x = 359,622,099,225
  5. Step 5: Solve for x
    x = 359,622,099,225/388,720
  6. Step 6: Final answer
    x = 925,144.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.