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Finding the Third Proportional to 347,673 and 721,991

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Solution

The third proportional to 347,673 and 721,991 is: 1,499,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,673 : 721,991 = 721,991 : x
  2. Step 2: Convert to fraction form
    347,673/721,991 = 721,991/x
  3. Step 3: Cross multiply
    347,673x = 721,991 × 721,991
  4. Step 4: Simplify right side
    347,673x = 521,271,004,081
  5. Step 5: Solve for x
    x = 521,271,004,081/347,673
  6. Step 6: Final answer
    x = 1,499,314.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.