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Finding the Third Proportional to 153,193.50 and 330,984

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Solution

The third proportional to 153,193.50 and 330,984 is: 715,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,193.50 : 330,984 = 330,984 : x
  2. Step 2: Convert to fraction form
    153,193.50/330,984 = 330,984/x
  3. Step 3: Cross multiply
    153,193.50x = 330,984 × 330,984
  4. Step 4: Simplify right side
    153,193.50x = 109,550,408,256
  5. Step 5: Solve for x
    x = 109,550,408,256/153,193.50
  6. Step 6: Final answer
    x = 715,111.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.