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Finding the Third Proportional to 389,818 and 583,134

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Solution

The third proportional to 389,818 and 583,134 is: 872,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,818 : 583,134 = 583,134 : x
  2. Step 2: Convert to fraction form
    389,818/583,134 = 583,134/x
  3. Step 3: Cross multiply
    389,818x = 583,134 × 583,134
  4. Step 4: Simplify right side
    389,818x = 340,045,261,956
  5. Step 5: Solve for x
    x = 340,045,261,956/389,818
  6. Step 6: Final answer
    x = 872,318.01

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