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Finding the Third Proportional to 143,315 and 210,325

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Solution

The third proportional to 143,315 and 210,325 is: 308,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,315 : 210,325 = 210,325 : x
  2. Step 2: Convert to fraction form
    143,315/210,325 = 210,325/x
  3. Step 3: Cross multiply
    143,315x = 210,325 × 210,325
  4. Step 4: Simplify right side
    143,315x = 44,236,605,625
  5. Step 5: Solve for x
    x = 44,236,605,625/143,315
  6. Step 6: Final answer
    x = 308,666.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.