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Finding the Third Proportional to 504,972 and 1,100,336

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Solution

The third proportional to 504,972 and 1,100,336 is: 2,397,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,972 : 1,100,336 = 1,100,336 : x
  2. Step 2: Convert to fraction form
    504,972/1,100,336 = 1,100,336/x
  3. Step 3: Cross multiply
    504,972x = 1,100,336 × 1,100,336
  4. Step 4: Simplify right side
    504,972x = 1,210,739,312,896
  5. Step 5: Solve for x
    x = 1,210,739,312,896/504,972
  6. Step 6: Final answer
    x = 2,397,636.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.