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Finding the Third Proportional to 260,574 and 389,326

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Solution

The third proportional to 260,574 and 389,326 is: 581,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,574 : 389,326 = 389,326 : x
  2. Step 2: Convert to fraction form
    260,574/389,326 = 389,326/x
  3. Step 3: Cross multiply
    260,574x = 389,326 × 389,326
  4. Step 4: Simplify right side
    260,574x = 151,574,734,276
  5. Step 5: Solve for x
    x = 151,574,734,276/260,574
  6. Step 6: Final answer
    x = 581,695.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.