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Finding the Third Proportional to 128,308 and 281,416

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Solution

The third proportional to 128,308 and 281,416 is: 617,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,308 : 281,416 = 281,416 : x
  2. Step 2: Convert to fraction form
    128,308/281,416 = 281,416/x
  3. Step 3: Cross multiply
    128,308x = 281,416 × 281,416
  4. Step 4: Simplify right side
    128,308x = 79,194,965,056
  5. Step 5: Solve for x
    x = 79,194,965,056/128,308
  6. Step 6: Final answer
    x = 617,225.47

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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.