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Finding the Third Proportional to 494,091 and 671,148

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Solution

The third proportional to 494,091 and 671,148 is: 911,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,091 : 671,148 = 671,148 : x
  2. Step 2: Convert to fraction form
    494,091/671,148 = 671,148/x
  3. Step 3: Cross multiply
    494,091x = 671,148 × 671,148
  4. Step 4: Simplify right side
    494,091x = 450,439,637,904
  5. Step 5: Solve for x
    x = 450,439,637,904/494,091
  6. Step 6: Final answer
    x = 911,653.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.