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Finding the Third Proportional to 585,318 and 855,621

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Solution

The third proportional to 585,318 and 855,621 is: 1,250,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,318 : 855,621 = 855,621 : x
  2. Step 2: Convert to fraction form
    585,318/855,621 = 855,621/x
  3. Step 3: Cross multiply
    585,318x = 855,621 × 855,621
  4. Step 4: Simplify right side
    585,318x = 732,087,295,641
  5. Step 5: Solve for x
    x = 732,087,295,641/585,318
  6. Step 6: Final answer
    x = 1,250,751.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.