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Finding the Third Proportional to 903,420 and 1,321,173

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Solution

The third proportional to 903,420 and 1,321,173 is: 1,932,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,420 : 1,321,173 = 1,321,173 : x
  2. Step 2: Convert to fraction form
    903,420/1,321,173 = 1,321,173/x
  3. Step 3: Cross multiply
    903,420x = 1,321,173 × 1,321,173
  4. Step 4: Simplify right side
    903,420x = 1,745,498,095,929
  5. Step 5: Solve for x
    x = 1,745,498,095,929/903,420
  6. Step 6: Final answer
    x = 1,932,100.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.