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Finding the Third Proportional to 113,450 and 243,748

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Solution

The third proportional to 113,450 and 243,748 is: 523,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,450 : 243,748 = 243,748 : x
  2. Step 2: Convert to fraction form
    113,450/243,748 = 243,748/x
  3. Step 3: Cross multiply
    113,450x = 243,748 × 243,748
  4. Step 4: Simplify right side
    113,450x = 59,413,087,504
  5. Step 5: Solve for x
    x = 59,413,087,504/113,450
  6. Step 6: Final answer
    x = 523,694.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.