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Finding the Third Proportional to 33,675,507.75 and 72,739,783.50

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Solution

The third proportional to 33,675,507.75 and 72,739,783.50 is: 157,119,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,507.75 : 72,739,783.50 = 72,739,783.50 : x
  2. Step 2: Convert to fraction form
    33,675,507.75/72,739,783.50 = 72,739,783.50/x
  3. Step 3: Cross multiply
    33,675,507.75x = 72,739,783.50 × 72,739,783.50
  4. Step 4: Simplify right side
    33,675,507.75x = 5,291,076,103,626,872
  5. Step 5: Solve for x
    x = 5,291,076,103,626,872/33,675,507.75
  6. Step 6: Final answer
    x = 157,119,415.78

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