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Finding the Third Proportional to 37,150,485 and 78,796,084.50

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Solution

The third proportional to 37,150,485 and 78,796,084.50 is: 167,126,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,150,485 : 78,796,084.50 = 78,796,084.50 : x
  2. Step 2: Convert to fraction form
    37,150,485/78,796,084.50 = 78,796,084.50/x
  3. Step 3: Cross multiply
    37,150,485x = 78,796,084.50 × 78,796,084.50
  4. Step 4: Simplify right side
    37,150,485x = 6,208,822,932,531,140
  5. Step 5: Solve for x
    x = 6,208,822,932,531,140/37,150,485
  6. Step 6: Final answer
    x = 167,126,295.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.