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Finding the Third Proportional to 155,636 and 243,176

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Solution

The third proportional to 155,636 and 243,176 is: 379,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,636 : 243,176 = 243,176 : x
  2. Step 2: Convert to fraction form
    155,636/243,176 = 243,176/x
  3. Step 3: Cross multiply
    155,636x = 243,176 × 243,176
  4. Step 4: Simplify right side
    155,636x = 59,134,566,976
  5. Step 5: Solve for x
    x = 59,134,566,976/155,636
  6. Step 6: Final answer
    x = 379,954.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.