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Finding the Third Proportional to 142,896 and 210,213

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Solution

The third proportional to 142,896 and 210,213 is: 309,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,896 : 210,213 = 210,213 : x
  2. Step 2: Convert to fraction form
    142,896/210,213 = 210,213/x
  3. Step 3: Cross multiply
    142,896x = 210,213 × 210,213
  4. Step 4: Simplify right side
    142,896x = 44,189,505,369
  5. Step 5: Solve for x
    x = 44,189,505,369/142,896
  6. Step 6: Final answer
    x = 309,242.42

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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.