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Finding the Third Proportional to 70,508 and 158,770

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Solution

The third proportional to 70,508 and 158,770 is: 357,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508 : 158,770 = 158,770 : x
  2. Step 2: Convert to fraction form
    70,508/158,770 = 158,770/x
  3. Step 3: Cross multiply
    70,508x = 158,770 × 158,770
  4. Step 4: Simplify right side
    70,508x = 25,207,912,900
  5. Step 5: Solve for x
    x = 25,207,912,900/70,508
  6. Step 6: Final answer
    x = 357,518.48

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.