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Finding the Third Proportional to 686,191 and 1,505,303

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Solution

The third proportional to 686,191 and 1,505,303 is: 3,302,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,191 : 1,505,303 = 1,505,303 : x
  2. Step 2: Convert to fraction form
    686,191/1,505,303 = 1,505,303/x
  3. Step 3: Cross multiply
    686,191x = 1,505,303 × 1,505,303
  4. Step 4: Simplify right side
    686,191x = 2,265,937,121,809
  5. Step 5: Solve for x
    x = 2,265,937,121,809/686,191
  6. Step 6: Final answer
    x = 3,302,195.92

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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.