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Finding the Third Proportional to 143,050 and 310,682

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Solution

The third proportional to 143,050 and 310,682 is: 674,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,050 : 310,682 = 310,682 : x
  2. Step 2: Convert to fraction form
    143,050/310,682 = 310,682/x
  3. Step 3: Cross multiply
    143,050x = 310,682 × 310,682
  4. Step 4: Simplify right side
    143,050x = 96,523,305,124
  5. Step 5: Solve for x
    x = 96,523,305,124/143,050
  6. Step 6: Final answer
    x = 674,752.22

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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.