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Finding the Third Proportional to 154,398 and 330,199.50

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Solution

The third proportional to 154,398 and 330,199.50 is: 706,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,398 : 330,199.50 = 330,199.50 : x
  2. Step 2: Convert to fraction form
    154,398/330,199.50 = 330,199.50/x
  3. Step 3: Cross multiply
    154,398x = 330,199.50 × 330,199.50
  4. Step 4: Simplify right side
    154,398x = 109,031,709,800.25
  5. Step 5: Solve for x
    x = 109,031,709,800.25/154,398
  6. Step 6: Final answer
    x = 706,173.07

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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.