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Finding the Third Proportional to 70,486.50 and 154,929

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Solution

The third proportional to 70,486.50 and 154,929 is: 340,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486.50 : 154,929 = 154,929 : x
  2. Step 2: Convert to fraction form
    70,486.50/154,929 = 154,929/x
  3. Step 3: Cross multiply
    70,486.50x = 154,929 × 154,929
  4. Step 4: Simplify right side
    70,486.50x = 24,002,995,041
  5. Step 5: Solve for x
    x = 24,002,995,041/70,486.50
  6. Step 6: Final answer
    x = 340,533.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.