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Finding the Third Proportional to 142,965 and 210,012.75

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Solution

The third proportional to 142,965 and 210,012.75 is: 308,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,965 : 210,012.75 = 210,012.75 : x
  2. Step 2: Convert to fraction form
    142,965/210,012.75 = 210,012.75/x
  3. Step 3: Cross multiply
    142,965x = 210,012.75 × 210,012.75
  4. Step 4: Simplify right side
    142,965x = 44,105,355,162.56
  5. Step 5: Solve for x
    x = 44,105,355,162.56/142,965
  6. Step 6: Final answer
    x = 308,504.57

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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.