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Finding the Third Proportional to 159,136 and 223,078

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Solution

The third proportional to 159,136 and 223,078 is: 312,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,136 : 223,078 = 223,078 : x
  2. Step 2: Convert to fraction form
    159,136/223,078 = 223,078/x
  3. Step 3: Cross multiply
    159,136x = 223,078 × 223,078
  4. Step 4: Simplify right side
    159,136x = 49,763,794,084
  5. Step 5: Solve for x
    x = 49,763,794,084/159,136
  6. Step 6: Final answer
    x = 312,712.36

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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.