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Finding the Third Proportional to 33,649,361 and 73,041,583.13

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Solution

The third proportional to 33,649,361 and 73,041,583.13 is: 158,549,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,361 : 73,041,583.13 = 73,041,583.13 : x
  2. Step 2: Convert to fraction form
    33,649,361/73,041,583.13 = 73,041,583.13/x
  3. Step 3: Cross multiply
    33,649,361x = 73,041,583.13 × 73,041,583.13
  4. Step 4: Simplify right side
    33,649,361x = 5,335,072,865,406,285
  5. Step 5: Solve for x
    x = 5,335,072,865,406,285/33,649,361
  6. Step 6: Final answer
    x = 158,549,009.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.