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Finding the Third Proportional to 39,878 and 59,046

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Solution

The third proportional to 39,878 and 59,046 is: 87,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878 : 59,046 = 59,046 : x
  2. Step 2: Convert to fraction form
    39,878/59,046 = 59,046/x
  3. Step 3: Cross multiply
    39,878x = 59,046 × 59,046
  4. Step 4: Simplify right side
    39,878x = 3,486,430,116
  5. Step 5: Solve for x
    x = 3,486,430,116/39,878
  6. Step 6: Final answer
    x = 87,427.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.