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Finding the Third Proportional to 39,878 and 86,362

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Solution

The third proportional to 39,878 and 86,362 is: 187,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878 : 86,362 = 86,362 : x
  2. Step 2: Convert to fraction form
    39,878/86,362 = 86,362/x
  3. Step 3: Cross multiply
    39,878x = 86,362 × 86,362
  4. Step 4: Simplify right side
    39,878x = 7,458,395,044
  5. Step 5: Solve for x
    x = 7,458,395,044/39,878
  6. Step 6: Final answer
    x = 187,030.32

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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.