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Finding the Third Proportional to 283,986 and 621,429.75

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Solution

The third proportional to 283,986 and 621,429.75 is: 1,359,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,986 : 621,429.75 = 621,429.75 : x
  2. Step 2: Convert to fraction form
    283,986/621,429.75 = 621,429.75/x
  3. Step 3: Cross multiply
    283,986x = 621,429.75 × 621,429.75
  4. Step 4: Simplify right side
    283,986x = 386,174,934,185.06
  5. Step 5: Solve for x
    x = 386,174,934,185.06/283,986
  6. Step 6: Final answer
    x = 1,359,837.93

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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.