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Finding the Third Proportional to 180,216 and 371,856

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Solution

The third proportional to 180,216 and 371,856 is: 767,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,216 : 371,856 = 371,856 : x
  2. Step 2: Convert to fraction form
    180,216/371,856 = 371,856/x
  3. Step 3: Cross multiply
    180,216x = 371,856 × 371,856
  4. Step 4: Simplify right side
    180,216x = 138,276,884,736
  5. Step 5: Solve for x
    x = 138,276,884,736/180,216
  6. Step 6: Final answer
    x = 767,284.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.