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Finding the Third Proportional to 605,065.50 and 1,289,619

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Solution

The third proportional to 605,065.50 and 1,289,619 is: 2,748,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,065.50 : 1,289,619 = 1,289,619 : x
  2. Step 2: Convert to fraction form
    605,065.50/1,289,619 = 1,289,619/x
  3. Step 3: Cross multiply
    605,065.50x = 1,289,619 × 1,289,619
  4. Step 4: Simplify right side
    605,065.50x = 1,663,117,165,161
  5. Step 5: Solve for x
    x = 1,663,117,165,161/605,065.50
  6. Step 6: Final answer
    x = 2,748,656.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.