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Finding the Third Proportional to 60,480 and 128,144

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Solution

The third proportional to 60,480 and 128,144 is: 271,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,480 : 128,144 = 128,144 : x
  2. Step 2: Convert to fraction form
    60,480/128,144 = 128,144/x
  3. Step 3: Cross multiply
    60,480x = 128,144 × 128,144
  4. Step 4: Simplify right side
    60,480x = 16,420,884,736
  5. Step 5: Solve for x
    x = 16,420,884,736/60,480
  6. Step 6: Final answer
    x = 271,509.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.