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Finding the Third Proportional to 605,688 and 1,311,679.50

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Solution

The third proportional to 605,688 and 1,311,679.50 is: 2,840,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,688 : 1,311,679.50 = 1,311,679.50 : x
  2. Step 2: Convert to fraction form
    605,688/1,311,679.50 = 1,311,679.50/x
  3. Step 3: Cross multiply
    605,688x = 1,311,679.50 × 1,311,679.50
  4. Step 4: Simplify right side
    605,688x = 1,720,503,110,720.25
  5. Step 5: Solve for x
    x = 1,720,503,110,720.25/605,688
  6. Step 6: Final answer
    x = 2,840,576.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.