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Finding the Third Proportional to 260,064 and 389,043

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Solution

The third proportional to 260,064 and 389,043 is: 581,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064 : 389,043 = 389,043 : x
  2. Step 2: Convert to fraction form
    260,064/389,043 = 389,043/x
  3. Step 3: Cross multiply
    260,064x = 389,043 × 389,043
  4. Step 4: Simplify right side
    260,064x = 151,354,455,849
  5. Step 5: Solve for x
    x = 151,354,455,849/260,064
  6. Step 6: Final answer
    x = 581,989.26

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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.