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Finding the Third Proportional to 180,823 and 393,358

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Solution

The third proportional to 180,823 and 393,358 is: 855,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,823 : 393,358 = 393,358 : x
  2. Step 2: Convert to fraction form
    180,823/393,358 = 393,358/x
  3. Step 3: Cross multiply
    180,823x = 393,358 × 393,358
  4. Step 4: Simplify right side
    180,823x = 154,730,516,164
  5. Step 5: Solve for x
    x = 154,730,516,164/180,823
  6. Step 6: Final answer
    x = 855,701.52

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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.