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Finding the Third Proportional to 389,837.39 and 583,169.63

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Solution

The third proportional to 389,837.39 and 583,169.63 is: 872,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,837.39 : 583,169.63 = 583,169.63 : x
  2. Step 2: Convert to fraction form
    389,837.39/583,169.63 = 583,169.63/x
  3. Step 3: Cross multiply
    389,837.39x = 583,169.63 × 583,169.63
  4. Step 4: Simplify right side
    389,837.39x = 340,086,811,522.64
  5. Step 5: Solve for x
    x = 340,086,811,522.64/389,837.39
  6. Step 6: Final answer
    x = 872,381.20

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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.