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Finding the Third Proportional to 33,649,362 and 73,041,586.13

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Solution

The third proportional to 33,649,362 and 73,041,586.13 is: 158,549,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,362 : 73,041,586.13 = 73,041,586.13 : x
  2. Step 2: Convert to fraction form
    33,649,362/73,041,586.13 = 73,041,586.13/x
  3. Step 3: Cross multiply
    33,649,362x = 73,041,586.13 × 73,041,586.13
  4. Step 4: Simplify right side
    33,649,362x = 5,335,073,303,655,793
  5. Step 5: Solve for x
    x = 5,335,073,303,655,793/33,649,362
  6. Step 6: Final answer
    x = 158,549,018.07

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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.