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Finding the Third Proportional to 389,780.75 and 583,080.75

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Solution

The third proportional to 389,780.75 and 583,080.75 is: 872,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,780.75 : 583,080.75 = 583,080.75 : x
  2. Step 2: Convert to fraction form
    389,780.75/583,080.75 = 583,080.75/x
  3. Step 3: Cross multiply
    389,780.75x = 583,080.75 × 583,080.75
  4. Step 4: Simplify right side
    389,780.75x = 339,983,161,020.56
  5. Step 5: Solve for x
    x = 339,983,161,020.56/389,780.75
  6. Step 6: Final answer
    x = 872,242.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.