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Finding the Third Proportional to 243,759 and 389,250

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Solution

The third proportional to 243,759 and 389,250 is: 621,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,759 : 389,250 = 389,250 : x
  2. Step 2: Convert to fraction form
    243,759/389,250 = 389,250/x
  3. Step 3: Cross multiply
    243,759x = 389,250 × 389,250
  4. Step 4: Simplify right side
    243,759x = 151,515,562,500
  5. Step 5: Solve for x
    x = 151,515,562,500/243,759
  6. Step 6: Final answer
    x = 621,579.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.