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Finding the Third Proportional to 289,347.75 and 618,594.75

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Solution

The third proportional to 289,347.75 and 618,594.75 is: 1,322,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,347.75 : 618,594.75 = 618,594.75 : x
  2. Step 2: Convert to fraction form
    289,347.75/618,594.75 = 618,594.75/x
  3. Step 3: Cross multiply
    289,347.75x = 618,594.75 × 618,594.75
  4. Step 4: Simplify right side
    289,347.75x = 382,659,464,727.56
  5. Step 5: Solve for x
    x = 382,659,464,727.56/289,347.75
  6. Step 6: Final answer
    x = 1,322,489.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.