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Finding the Third Proportional to 288,883.50 and 635,412

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Solution

The third proportional to 288,883.50 and 635,412 is: 1,397,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,883.50 : 635,412 = 635,412 : x
  2. Step 2: Convert to fraction form
    288,883.50/635,412 = 635,412/x
  3. Step 3: Cross multiply
    288,883.50x = 635,412 × 635,412
  4. Step 4: Simplify right side
    288,883.50x = 403,748,409,744
  5. Step 5: Solve for x
    x = 403,748,409,744/288,883.50
  6. Step 6: Final answer
    x = 1,397,616.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.