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Finding the Third Proportional to 140,157,192 and 301,880,161.50

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Solution

The third proportional to 140,157,192 and 301,880,161.50 is: 650,210,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,157,192 : 301,880,161.50 = 301,880,161.50 : x
  2. Step 2: Convert to fraction form
    140,157,192/301,880,161.50 = 301,880,161.50/x
  3. Step 3: Cross multiply
    140,157,192x = 301,880,161.50 × 301,880,161.50
  4. Step 4: Simplify right side
    140,157,192x = 91,131,631,907,266,080
  5. Step 5: Solve for x
    x = 91,131,631,907,266,080/140,157,192
  6. Step 6: Final answer
    x = 650,210,171.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.