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Finding the Third Proportional to 143,146 and 214,863

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Solution

The third proportional to 143,146 and 214,863 is: 322,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,146 : 214,863 = 214,863 : x
  2. Step 2: Convert to fraction form
    143,146/214,863 = 214,863/x
  3. Step 3: Cross multiply
    143,146x = 214,863 × 214,863
  4. Step 4: Simplify right side
    143,146x = 46,166,108,769
  5. Step 5: Solve for x
    x = 46,166,108,769/143,146
  6. Step 6: Final answer
    x = 322,510.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.