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Finding the Third Proportional to 84,078 and 183,222

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Solution

The third proportional to 84,078 and 183,222 is: 399,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078 : 183,222 = 183,222 : x
  2. Step 2: Convert to fraction form
    84,078/183,222 = 183,222/x
  3. Step 3: Cross multiply
    84,078x = 183,222 × 183,222
  4. Step 4: Simplify right side
    84,078x = 33,570,301,284
  5. Step 5: Solve for x
    x = 33,570,301,284/84,078
  6. Step 6: Final answer
    x = 399,275.69

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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.