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Finding the Third Proportional to 259,470 and 389,205

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Solution

The third proportional to 259,470 and 389,205 is: 583,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,470 : 389,205 = 389,205 : x
  2. Step 2: Convert to fraction form
    259,470/389,205 = 389,205/x
  3. Step 3: Cross multiply
    259,470x = 389,205 × 389,205
  4. Step 4: Simplify right side
    259,470x = 151,480,532,025
  5. Step 5: Solve for x
    x = 151,480,532,025/259,470
  6. Step 6: Final answer
    x = 583,807.50

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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.