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Finding the Third Proportional to 180,120 and 391,008

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Solution

The third proportional to 180,120 and 391,008 is: 848,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,120 : 391,008 = 391,008 : x
  2. Step 2: Convert to fraction form
    180,120/391,008 = 391,008/x
  3. Step 3: Cross multiply
    180,120x = 391,008 × 391,008
  4. Step 4: Simplify right side
    180,120x = 152,887,256,064
  5. Step 5: Solve for x
    x = 152,887,256,064/180,120
  6. Step 6: Final answer
    x = 848,807.77

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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.