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Finding the Third Proportional to 47,420 and 102,724

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Solution

The third proportional to 47,420 and 102,724 is: 222,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,420 : 102,724 = 102,724 : x
  2. Step 2: Convert to fraction form
    47,420/102,724 = 102,724/x
  3. Step 3: Cross multiply
    47,420x = 102,724 × 102,724
  4. Step 4: Simplify right side
    47,420x = 10,552,220,176
  5. Step 5: Solve for x
    x = 10,552,220,176/47,420
  6. Step 6: Final answer
    x = 222,526.79

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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.