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Finding the Third Proportional to 389,779 and 583,078

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Solution

The third proportional to 389,779 and 583,078 is: 872,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,779 : 583,078 = 583,078 : x
  2. Step 2: Convert to fraction form
    389,779/583,078 = 583,078/x
  3. Step 3: Cross multiply
    389,779x = 583,078 × 583,078
  4. Step 4: Simplify right side
    389,779x = 339,979,954,084
  5. Step 5: Solve for x
    x = 339,979,954,084/389,779
  6. Step 6: Final answer
    x = 872,237.74

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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.