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Finding the Third Proportional to 180,604 and 395,465

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Solution

The third proportional to 180,604 and 395,465 is: 865,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,604 : 395,465 = 395,465 : x
  2. Step 2: Convert to fraction form
    180,604/395,465 = 395,465/x
  3. Step 3: Cross multiply
    180,604x = 395,465 × 395,465
  4. Step 4: Simplify right side
    180,604x = 156,392,566,225
  5. Step 5: Solve for x
    x = 156,392,566,225/180,604
  6. Step 6: Final answer
    x = 865,941.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.