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Finding the Third Proportional to 130,170 and 270,636

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Solution

The third proportional to 130,170 and 270,636 is: 562,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,170 : 270,636 = 270,636 : x
  2. Step 2: Convert to fraction form
    130,170/270,636 = 270,636/x
  3. Step 3: Cross multiply
    130,170x = 270,636 × 270,636
  4. Step 4: Simplify right side
    130,170x = 73,243,844,496
  5. Step 5: Solve for x
    x = 73,243,844,496/130,170
  6. Step 6: Final answer
    x = 562,678.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.