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Finding the Third Proportional to 603,060 and 819,009

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Solution

The third proportional to 603,060 and 819,009 is: 1,112,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,060 : 819,009 = 819,009 : x
  2. Step 2: Convert to fraction form
    603,060/819,009 = 819,009/x
  3. Step 3: Cross multiply
    603,060x = 819,009 × 819,009
  4. Step 4: Simplify right side
    603,060x = 670,775,742,081
  5. Step 5: Solve for x
    x = 670,775,742,081/603,060
  6. Step 6: Final answer
    x = 1,112,286.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.