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Finding the Third Proportional to 128,186 and 280,507

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Solution

The third proportional to 128,186 and 280,507 is: 613,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,186 : 280,507 = 280,507 : x
  2. Step 2: Convert to fraction form
    128,186/280,507 = 280,507/x
  3. Step 3: Cross multiply
    128,186x = 280,507 × 280,507
  4. Step 4: Simplify right side
    128,186x = 78,684,177,049
  5. Step 5: Solve for x
    x = 78,684,177,049/128,186
  6. Step 6: Final answer
    x = 613,828.16

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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.