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Finding the Third Proportional to 128,185 and 278,239

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Solution

The third proportional to 128,185 and 278,239 is: 603,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,185 : 278,239 = 278,239 : x
  2. Step 2: Convert to fraction form
    128,185/278,239 = 278,239/x
  3. Step 3: Cross multiply
    128,185x = 278,239 × 278,239
  4. Step 4: Simplify right side
    128,185x = 77,416,941,121
  5. Step 5: Solve for x
    x = 77,416,941,121/128,185
  6. Step 6: Final answer
    x = 603,946.96

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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.