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Finding the Third Proportional to 45,420 and 98,718

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Solution

The third proportional to 45,420 and 98,718 is: 214,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420 : 98,718 = 98,718 : x
  2. Step 2: Convert to fraction form
    45,420/98,718 = 98,718/x
  3. Step 3: Cross multiply
    45,420x = 98,718 × 98,718
  4. Step 4: Simplify right side
    45,420x = 9,745,243,524
  5. Step 5: Solve for x
    x = 9,745,243,524/45,420
  6. Step 6: Final answer
    x = 214,558.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.