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Finding the Third Proportional to 389,015 and 591,518

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Solution

The third proportional to 389,015 and 591,518 is: 899,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,015 : 591,518 = 591,518 : x
  2. Step 2: Convert to fraction form
    389,015/591,518 = 591,518/x
  3. Step 3: Cross multiply
    389,015x = 591,518 × 591,518
  4. Step 4: Simplify right side
    389,015x = 349,893,544,324
  5. Step 5: Solve for x
    x = 349,893,544,324/389,015
  6. Step 6: Final answer
    x = 899,434.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.