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Finding the Third Proportional to 33,649,347 and 73,041,553.50

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Solution

The third proportional to 33,649,347 and 73,041,553.50 is: 158,548,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,347 : 73,041,553.50 = 73,041,553.50 : x
  2. Step 2: Convert to fraction form
    33,649,347/73,041,553.50 = 73,041,553.50/x
  3. Step 3: Cross multiply
    33,649,347x = 73,041,553.50 × 73,041,553.50
  4. Step 4: Simplify right side
    33,649,347x = 5,335,068,537,693,362
  5. Step 5: Solve for x
    x = 5,335,068,537,693,362/33,649,347
  6. Step 6: Final answer
    x = 158,548,947.11

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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.