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Finding the Third Proportional to 259,800 and 389,700

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Solution

The third proportional to 259,800 and 389,700 is: 584,550

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,800 : 389,700 = 389,700 : x
  2. Step 2: Convert to fraction form
    259,800/389,700 = 389,700/x
  3. Step 3: Cross multiply
    259,800x = 389,700 × 389,700
  4. Step 4: Simplify right side
    259,800x = 151,866,090,000
  5. Step 5: Solve for x
    x = 151,866,090,000/259,800
  6. Step 6: Final answer
    x = 584,550

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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.