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Finding the Third Proportional to 388,721 and 599,687

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Solution

The third proportional to 388,721 and 599,687 is: 925,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,721 : 599,687 = 599,687 : x
  2. Step 2: Convert to fraction form
    388,721/599,687 = 599,687/x
  3. Step 3: Cross multiply
    388,721x = 599,687 × 599,687
  4. Step 4: Simplify right side
    388,721x = 359,624,497,969
  5. Step 5: Solve for x
    x = 359,624,497,969/388,721
  6. Step 6: Final answer
    x = 925,148.11

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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.