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Finding the Third Proportional to 78,858 and 172,284

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Solution

The third proportional to 78,858 and 172,284 is: 376,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858 : 172,284 = 172,284 : x
  2. Step 2: Convert to fraction form
    78,858/172,284 = 172,284/x
  3. Step 3: Cross multiply
    78,858x = 172,284 × 172,284
  4. Step 4: Simplify right side
    78,858x = 29,681,776,656
  5. Step 5: Solve for x
    x = 29,681,776,656/78,858
  6. Step 6: Final answer
    x = 376,395.25

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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.