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Finding the Third Proportional to 876,824 and 1,321,029

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Solution

The third proportional to 876,824 and 1,321,029 is: 1,990,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,824 : 1,321,029 = 1,321,029 : x
  2. Step 2: Convert to fraction form
    876,824/1,321,029 = 1,321,029/x
  3. Step 3: Cross multiply
    876,824x = 1,321,029 × 1,321,029
  4. Step 4: Simplify right side
    876,824x = 1,745,117,618,841
  5. Step 5: Solve for x
    x = 1,745,117,618,841/876,824
  6. Step 6: Final answer
    x = 1,990,271.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.