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Finding the Third Proportional to 260,578 and 389,332

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Solution

The third proportional to 260,578 and 389,332 is: 581,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,578 : 389,332 = 389,332 : x
  2. Step 2: Convert to fraction form
    260,578/389,332 = 389,332/x
  3. Step 3: Cross multiply
    260,578x = 389,332 × 389,332
  4. Step 4: Simplify right side
    260,578x = 151,579,406,224
  5. Step 5: Solve for x
    x = 151,579,406,224/260,578
  6. Step 6: Final answer
    x = 581,704.54

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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.