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Finding the Third Proportional to 182,621 and 398,459

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Solution

The third proportional to 182,621 and 398,459 is: 869,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,621 : 398,459 = 398,459 : x
  2. Step 2: Convert to fraction form
    182,621/398,459 = 398,459/x
  3. Step 3: Cross multiply
    182,621x = 398,459 × 398,459
  4. Step 4: Simplify right side
    182,621x = 158,769,574,681
  5. Step 5: Solve for x
    x = 158,769,574,681/182,621
  6. Step 6: Final answer
    x = 869,393.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.