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Finding the Third Proportional to 142,956 and 210,276

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Solution

The third proportional to 142,956 and 210,276 is: 309,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,956 : 210,276 = 210,276 : x
  2. Step 2: Convert to fraction form
    142,956/210,276 = 210,276/x
  3. Step 3: Cross multiply
    142,956x = 210,276 × 210,276
  4. Step 4: Simplify right side
    142,956x = 44,215,996,176
  5. Step 5: Solve for x
    x = 44,215,996,176/142,956
  6. Step 6: Final answer
    x = 309,297.94

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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.