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Finding the Third Proportional to 328,489 and 708,250

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Solution

The third proportional to 328,489 and 708,250 is: 1,527,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,489 : 708,250 = 708,250 : x
  2. Step 2: Convert to fraction form
    328,489/708,250 = 708,250/x
  3. Step 3: Cross multiply
    328,489x = 708,250 × 708,250
  4. Step 4: Simplify right side
    328,489x = 501,618,062,500
  5. Step 5: Solve for x
    x = 501,618,062,500/328,489
  6. Step 6: Final answer
    x = 1,527,046.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.