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Finding the Third Proportional to 182,700 and 398,516

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Solution

The third proportional to 182,700 and 398,516 is: 869,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,700 : 398,516 = 398,516 : x
  2. Step 2: Convert to fraction form
    182,700/398,516 = 398,516/x
  3. Step 3: Cross multiply
    182,700x = 398,516 × 398,516
  4. Step 4: Simplify right side
    182,700x = 158,815,002,256
  5. Step 5: Solve for x
    x = 158,815,002,256/182,700
  6. Step 6: Final answer
    x = 869,266.57

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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.