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Finding the Third Proportional to 659,238.75 and 1,439,289

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Solution

The third proportional to 659,238.75 and 1,439,289 is: 3,142,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,238.75 : 1,439,289 = 1,439,289 : x
  2. Step 2: Convert to fraction form
    659,238.75/1,439,289 = 1,439,289/x
  3. Step 3: Cross multiply
    659,238.75x = 1,439,289 × 1,439,289
  4. Step 4: Simplify right side
    659,238.75x = 2,071,552,825,521
  5. Step 5: Solve for x
    x = 2,071,552,825,521/659,238.75
  6. Step 6: Final answer
    x = 3,142,340.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.