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Finding the Third Proportional to 180,212 and 391,168

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Solution

The third proportional to 180,212 and 391,168 is: 849,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,212 : 391,168 = 391,168 : x
  2. Step 2: Convert to fraction form
    180,212/391,168 = 391,168/x
  3. Step 3: Cross multiply
    180,212x = 391,168 × 391,168
  4. Step 4: Simplify right side
    180,212x = 153,012,404,224
  5. Step 5: Solve for x
    x = 153,012,404,224/180,212
  6. Step 6: Final answer
    x = 849,068.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.