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Finding the Third Proportional to 390,537 and 855,976

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Solution

The third proportional to 390,537 and 855,976 is: 1,876,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,537 : 855,976 = 855,976 : x
  2. Step 2: Convert to fraction form
    390,537/855,976 = 855,976/x
  3. Step 3: Cross multiply
    390,537x = 855,976 × 855,976
  4. Step 4: Simplify right side
    390,537x = 732,694,912,576
  5. Step 5: Solve for x
    x = 732,694,912,576/390,537
  6. Step 6: Final answer
    x = 1,876,121.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.