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Finding the Third Proportional to 128,604 and 278,004

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Solution

The third proportional to 128,604 and 278,004 is: 600,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,604 : 278,004 = 278,004 : x
  2. Step 2: Convert to fraction form
    128,604/278,004 = 278,004/x
  3. Step 3: Cross multiply
    128,604x = 278,004 × 278,004
  4. Step 4: Simplify right side
    128,604x = 77,286,224,016
  5. Step 5: Solve for x
    x = 77,286,224,016/128,604
  6. Step 6: Final answer
    x = 600,962.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.