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Finding the Third Proportional to 228,726 and 353,458

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Solution

The third proportional to 228,726 and 353,458 is: 546,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,726 : 353,458 = 353,458 : x
  2. Step 2: Convert to fraction form
    228,726/353,458 = 353,458/x
  3. Step 3: Cross multiply
    228,726x = 353,458 × 353,458
  4. Step 4: Simplify right side
    228,726x = 124,932,557,764
  5. Step 5: Solve for x
    x = 124,932,557,764/228,726
  6. Step 6: Final answer
    x = 546,210.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.