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Finding the Third Proportional to 157,077 and 210,697

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Solution

The third proportional to 157,077 and 210,697 is: 282,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077 : 210,697 = 210,697 : x
  2. Step 2: Convert to fraction form
    157,077/210,697 = 210,697/x
  3. Step 3: Cross multiply
    157,077x = 210,697 × 210,697
  4. Step 4: Simplify right side
    157,077x = 44,393,225,809
  5. Step 5: Solve for x
    x = 44,393,225,809/157,077
  6. Step 6: Final answer
    x = 282,620.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.