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Finding the Third Proportional to 417.09 and 902.67

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Solution

The third proportional to 417.09 and 902.67 is: 1,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.09 : 902.67 = 902.67 : x
  2. Step 2: Convert to fraction form
    417.09/902.67 = 902.67/x
  3. Step 3: Cross multiply
    417.09x = 902.67 × 902.67
  4. Step 4: Simplify right side
    417.09x = 814,816.51
  5. Step 5: Solve for x
    x = 814,816.51/417.09
  6. Step 6: Final answer
    x = 1,953.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.