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Finding the Third Proportional to 128,636 and 278,650

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Solution

The third proportional to 128,636 and 278,650 is: 603,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,636 : 278,650 = 278,650 : x
  2. Step 2: Convert to fraction form
    128,636/278,650 = 278,650/x
  3. Step 3: Cross multiply
    128,636x = 278,650 × 278,650
  4. Step 4: Simplify right side
    128,636x = 77,645,822,500
  5. Step 5: Solve for x
    x = 77,645,822,500/128,636
  6. Step 6: Final answer
    x = 603,608.81

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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.