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Finding the Third Proportional to 388,640 and 840,939

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Solution

The third proportional to 388,640 and 840,939 is: 1,819,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,640 : 840,939 = 840,939 : x
  2. Step 2: Convert to fraction form
    388,640/840,939 = 840,939/x
  3. Step 3: Cross multiply
    388,640x = 840,939 × 840,939
  4. Step 4: Simplify right side
    388,640x = 707,178,401,721
  5. Step 5: Solve for x
    x = 707,178,401,721/388,640
  6. Step 6: Final answer
    x = 1,819,623.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.