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Finding the Third Proportional to 1,580.77 and 2,310.40

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Solution

The third proportional to 1,580.77 and 2,310.40 is: 3,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.77 : 2,310.40 = 2,310.40 : x
  2. Step 2: Convert to fraction form
    1,580.77/2,310.40 = 2,310.40/x
  3. Step 3: Cross multiply
    1,580.77x = 2,310.40 × 2,310.40
  4. Step 4: Simplify right side
    1,580.77x = 5,337,940.94
  5. Step 5: Solve for x
    x = 5,337,940.94/1,580.77
  6. Step 6: Final answer
    x = 3,376.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.