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Finding the Third Proportional to 409,298.06 and 628,254.56

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Solution

The third proportional to 409,298.06 and 628,254.56 is: 964,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,298.06 : 628,254.56 = 628,254.56 : x
  2. Step 2: Convert to fraction form
    409,298.06/628,254.56 = 628,254.56/x
  3. Step 3: Cross multiply
    409,298.06x = 628,254.56 × 628,254.56
  4. Step 4: Simplify right side
    409,298.06x = 394,703,795,302.07
  5. Step 5: Solve for x
    x = 394,703,795,302.07/409,298.06
  6. Step 6: Final answer
    x = 964,343.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.