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Finding the Third Proportional to 388,719 and 599,679

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Solution

The third proportional to 388,719 and 599,679 is: 925,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,719 : 599,679 = 599,679 : x
  2. Step 2: Convert to fraction form
    388,719/599,679 = 599,679/x
  3. Step 3: Cross multiply
    388,719x = 599,679 × 599,679
  4. Step 4: Simplify right side
    388,719x = 359,614,903,041
  5. Step 5: Solve for x
    x = 359,614,903,041/388,719
  6. Step 6: Final answer
    x = 925,128.19

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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.