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Finding the Third Proportional to 128,670.75 and 282,267

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Solution

The third proportional to 128,670.75 and 282,267 is: 619,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,670.75 : 282,267 = 282,267 : x
  2. Step 2: Convert to fraction form
    128,670.75/282,267 = 282,267/x
  3. Step 3: Cross multiply
    128,670.75x = 282,267 × 282,267
  4. Step 4: Simplify right side
    128,670.75x = 79,674,659,289
  5. Step 5: Solve for x
    x = 79,674,659,289/128,670.75
  6. Step 6: Final answer
    x = 619,213.45

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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.