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Finding the Third Proportional to 70,211 and 154,030

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Solution

The third proportional to 70,211 and 154,030 is: 337,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,211 : 154,030 = 154,030 : x
  2. Step 2: Convert to fraction form
    70,211/154,030 = 154,030/x
  3. Step 3: Cross multiply
    70,211x = 154,030 × 154,030
  4. Step 4: Simplify right side
    70,211x = 23,725,240,900
  5. Step 5: Solve for x
    x = 23,725,240,900/70,211
  6. Step 6: Final answer
    x = 337,913.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.