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Finding the Third Proportional to 142,963 and 210,285

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Solution

The third proportional to 142,963 and 210,285 is: 309,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,963 : 210,285 = 210,285 : x
  2. Step 2: Convert to fraction form
    142,963/210,285 = 210,285/x
  3. Step 3: Cross multiply
    142,963x = 210,285 × 210,285
  4. Step 4: Simplify right side
    142,963x = 44,219,781,225
  5. Step 5: Solve for x
    x = 44,219,781,225/142,963
  6. Step 6: Final answer
    x = 309,309.27

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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.