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Finding the Third Proportional to 305,708 and 407,721

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Solution

The third proportional to 305,708 and 407,721 is: 543,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,708 : 407,721 = 407,721 : x
  2. Step 2: Convert to fraction form
    305,708/407,721 = 407,721/x
  3. Step 3: Cross multiply
    305,708x = 407,721 × 407,721
  4. Step 4: Simplify right side
    305,708x = 166,236,413,841
  5. Step 5: Solve for x
    x = 166,236,413,841/305,708
  6. Step 6: Final answer
    x = 543,775.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.