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Finding the Third Proportional to 68,308,842 and 149,907,534

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Solution

The third proportional to 68,308,842 and 149,907,534 is: 328,980,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,308,842 : 149,907,534 = 149,907,534 : x
  2. Step 2: Convert to fraction form
    68,308,842/149,907,534 = 149,907,534/x
  3. Step 3: Cross multiply
    68,308,842x = 149,907,534 × 149,907,534
  4. Step 4: Simplify right side
    68,308,842x = 22,472,268,749,961,156
  5. Step 5: Solve for x
    x = 22,472,268,749,961,156/68,308,842
  6. Step 6: Final answer
    x = 328,980,379.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.