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Finding the Third Proportional to 389,799.75 and 583,110.38

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Solution

The third proportional to 389,799.75 and 583,110.38 is: 872,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,799.75 : 583,110.38 = 583,110.38 : x
  2. Step 2: Convert to fraction form
    389,799.75/583,110.38 = 583,110.38/x
  3. Step 3: Cross multiply
    389,799.75x = 583,110.38 × 583,110.38
  4. Step 4: Simplify right side
    389,799.75x = 340,017,709,432.64
  5. Step 5: Solve for x
    x = 340,017,709,432.64/389,799.75
  6. Step 6: Final answer
    x = 872,288.17

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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.