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Finding the Third Proportional to 128,148 and 280,434

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Solution

The third proportional to 128,148 and 280,434 is: 613,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,148 : 280,434 = 280,434 : x
  2. Step 2: Convert to fraction form
    128,148/280,434 = 280,434/x
  3. Step 3: Cross multiply
    128,148x = 280,434 × 280,434
  4. Step 4: Simplify right side
    128,148x = 78,643,228,356
  5. Step 5: Solve for x
    x = 78,643,228,356/128,148
  6. Step 6: Final answer
    x = 613,690.64

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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.