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Finding the Third Proportional to 289,029.94 and 609,219.56

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Solution

The third proportional to 289,029.94 and 609,219.56 is: 1,284,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,029.94 : 609,219.56 = 609,219.56 : x
  2. Step 2: Convert to fraction form
    289,029.94/609,219.56 = 609,219.56/x
  3. Step 3: Cross multiply
    289,029.94x = 609,219.56 × 609,219.56
  4. Step 4: Simplify right side
    289,029.94x = 371,148,475,332.69
  5. Step 5: Solve for x
    x = 371,148,475,332.69/289,029.94
  6. Step 6: Final answer
    x = 1,284,117.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.