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Finding the Third Proportional to 128,251 and 278,237

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Solution

The third proportional to 128,251 and 278,237 is: 603,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,251 : 278,237 = 278,237 : x
  2. Step 2: Convert to fraction form
    128,251/278,237 = 278,237/x
  3. Step 3: Cross multiply
    128,251x = 278,237 × 278,237
  4. Step 4: Simplify right side
    128,251x = 77,415,828,169
  5. Step 5: Solve for x
    x = 77,415,828,169/128,251
  6. Step 6: Final answer
    x = 603,627.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.