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Finding the Third Proportional to 155,612 and 171,652

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Solution

The third proportional to 155,612 and 171,652 is: 189,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,612 : 171,652 = 171,652 : x
  2. Step 2: Convert to fraction form
    155,612/171,652 = 171,652/x
  3. Step 3: Cross multiply
    155,612x = 171,652 × 171,652
  4. Step 4: Simplify right side
    155,612x = 29,464,409,104
  5. Step 5: Solve for x
    x = 29,464,409,104/155,612
  6. Step 6: Final answer
    x = 189,345.35

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.