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Finding the Third Proportional to 159,142 and 223,089

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Solution

The third proportional to 159,142 and 223,089 is: 312,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,142 : 223,089 = 223,089 : x
  2. Step 2: Convert to fraction form
    159,142/223,089 = 223,089/x
  3. Step 3: Cross multiply
    159,142x = 223,089 × 223,089
  4. Step 4: Simplify right side
    159,142x = 49,768,701,921
  5. Step 5: Solve for x
    x = 49,768,701,921/159,142
  6. Step 6: Final answer
    x = 312,731.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.