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Finding the Third Proportional to 128,480 and 281,152

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Solution

The third proportional to 128,480 and 281,152 is: 615,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,480 : 281,152 = 281,152 : x
  2. Step 2: Convert to fraction form
    128,480/281,152 = 281,152/x
  3. Step 3: Cross multiply
    128,480x = 281,152 × 281,152
  4. Step 4: Simplify right side
    128,480x = 79,046,447,104
  5. Step 5: Solve for x
    x = 79,046,447,104/128,480
  6. Step 6: Final answer
    x = 615,243.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.