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Finding the Third Proportional to 182,438 and 400,840

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Solution

The third proportional to 182,438 and 400,840 is: 880,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,438 : 400,840 = 400,840 : x
  2. Step 2: Convert to fraction form
    182,438/400,840 = 400,840/x
  3. Step 3: Cross multiply
    182,438x = 400,840 × 400,840
  4. Step 4: Simplify right side
    182,438x = 160,672,705,600
  5. Step 5: Solve for x
    x = 160,672,705,600/182,438
  6. Step 6: Final answer
    x = 880,697.58

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Why These Related Problems?

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