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Finding the Third Proportional to 691,821 and 1,501,740

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Solution

The third proportional to 691,821 and 1,501,740 is: 3,259,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,821 : 1,501,740 = 1,501,740 : x
  2. Step 2: Convert to fraction form
    691,821/1,501,740 = 1,501,740/x
  3. Step 3: Cross multiply
    691,821x = 1,501,740 × 1,501,740
  4. Step 4: Simplify right side
    691,821x = 2,255,223,027,600
  5. Step 5: Solve for x
    x = 2,255,223,027,600/691,821
  6. Step 6: Final answer
    x = 3,259,836.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.