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Finding the Third Proportional to 70,220 and 150,281

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Solution

The third proportional to 70,220 and 150,281 is: 321,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,220 : 150,281 = 150,281 : x
  2. Step 2: Convert to fraction form
    70,220/150,281 = 150,281/x
  3. Step 3: Cross multiply
    70,220x = 150,281 × 150,281
  4. Step 4: Simplify right side
    70,220x = 22,584,378,961
  5. Step 5: Solve for x
    x = 22,584,378,961/70,220
  6. Step 6: Final answer
    x = 321,623.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.