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Finding the Third Proportional to 128,356 and 278,094

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Solution

The third proportional to 128,356 and 278,094 is: 602,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,356 : 278,094 = 278,094 : x
  2. Step 2: Convert to fraction form
    128,356/278,094 = 278,094/x
  3. Step 3: Cross multiply
    128,356x = 278,094 × 278,094
  4. Step 4: Simplify right side
    128,356x = 77,336,272,836
  5. Step 5: Solve for x
    x = 77,336,272,836/128,356
  6. Step 6: Final answer
    x = 602,513.89

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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.