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Finding the Third Proportional to 390,544 and 855,991

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Solution

The third proportional to 390,544 and 855,991 is: 1,876,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,544 : 855,991 = 855,991 : x
  2. Step 2: Convert to fraction form
    390,544/855,991 = 855,991/x
  3. Step 3: Cross multiply
    390,544x = 855,991 × 855,991
  4. Step 4: Simplify right side
    390,544x = 732,720,592,081
  5. Step 5: Solve for x
    x = 732,720,592,081/390,544
  6. Step 6: Final answer
    x = 1,876,153.75

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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.