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Finding the Third Proportional to 546.19 and 904.22

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Solution

The third proportional to 546.19 and 904.22 is: 1,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 904.22 = 904.22 : x
  2. Step 2: Convert to fraction form
    546.19/904.22 = 904.22/x
  3. Step 3: Cross multiply
    546.19x = 904.22 × 904.22
  4. Step 4: Simplify right side
    546.19x = 817,611.55
  5. Step 5: Solve for x
    x = 817,611.55/546.19
  6. Step 6: Final answer
    x = 1,496.94

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.