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Finding the Third Proportional to 403,500 and 606,991

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Solution

The third proportional to 403,500 and 606,991 is: 913,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,500 : 606,991 = 606,991 : x
  2. Step 2: Convert to fraction form
    403,500/606,991 = 606,991/x
  3. Step 3: Cross multiply
    403,500x = 606,991 × 606,991
  4. Step 4: Simplify right side
    403,500x = 368,438,074,081
  5. Step 5: Solve for x
    x = 368,438,074,081/403,500
  6. Step 6: Final answer
    x = 913,105.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.