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Finding the Third Proportional to 77,112 and 168,984

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Solution

The third proportional to 77,112 and 168,984 is: 370,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,112 : 168,984 = 168,984 : x
  2. Step 2: Convert to fraction form
    77,112/168,984 = 168,984/x
  3. Step 3: Cross multiply
    77,112x = 168,984 × 168,984
  4. Step 4: Simplify right side
    77,112x = 28,555,592,256
  5. Step 5: Solve for x
    x = 28,555,592,256/77,112
  6. Step 6: Final answer
    x = 370,313.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.