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Finding the Third Proportional to 94,674.75 and 207,455.63

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Solution

The third proportional to 94,674.75 and 207,455.63 is: 454,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,674.75 : 207,455.63 = 207,455.63 : x
  2. Step 2: Convert to fraction form
    94,674.75/207,455.63 = 207,455.63/x
  3. Step 3: Cross multiply
    94,674.75x = 207,455.63 × 207,455.63
  4. Step 4: Simplify right side
    94,674.75x = 43,037,836,344.14
  5. Step 5: Solve for x
    x = 43,037,836,344.14/94,674.75
  6. Step 6: Final answer
    x = 454,586.22

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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.