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Finding the Third Proportional to 60,388 and 85,899

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Solution

The third proportional to 60,388 and 85,899 is: 122,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,388 : 85,899 = 85,899 : x
  2. Step 2: Convert to fraction form
    60,388/85,899 = 85,899/x
  3. Step 3: Cross multiply
    60,388x = 85,899 × 85,899
  4. Step 4: Simplify right side
    60,388x = 7,378,638,201
  5. Step 5: Solve for x
    x = 7,378,638,201/60,388
  6. Step 6: Final answer
    x = 122,187.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.