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Finding the Third Proportional to 388,919 and 599,972

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Solution

The third proportional to 388,919 and 599,972 is: 925,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,919 : 599,972 = 599,972 : x
  2. Step 2: Convert to fraction form
    388,919/599,972 = 599,972/x
  3. Step 3: Cross multiply
    388,919x = 599,972 × 599,972
  4. Step 4: Simplify right side
    388,919x = 359,966,400,784
  5. Step 5: Solve for x
    x = 359,966,400,784/388,919
  6. Step 6: Final answer
    x = 925,556.22

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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.