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Finding the Third Proportional to 821,040 and 1,307,449

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Solution

The third proportional to 821,040 and 1,307,449 is: 2,082,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,040 : 1,307,449 = 1,307,449 : x
  2. Step 2: Convert to fraction form
    821,040/1,307,449 = 1,307,449/x
  3. Step 3: Cross multiply
    821,040x = 1,307,449 × 1,307,449
  4. Step 4: Simplify right side
    821,040x = 1,709,422,887,601
  5. Step 5: Solve for x
    x = 1,709,422,887,601/821,040
  6. Step 6: Final answer
    x = 2,082,021.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.