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Finding the Third Proportional to 178,647,051.09 and 386,972,689.50

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Solution

The third proportional to 178,647,051.09 and 386,972,689.50 is: 838,233,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,647,051.09 : 386,972,689.50 = 386,972,689.50 : x
  2. Step 2: Convert to fraction form
    178,647,051.09/386,972,689.50 = 386,972,689.50/x
  3. Step 3: Cross multiply
    178,647,051.09x = 386,972,689.50 × 386,972,689.50
  4. Step 4: Simplify right side
    178,647,051.09x = 149,747,862,418,863,424
  5. Step 5: Solve for x
    x = 149,747,862,418,863,424/178,647,051.09
  6. Step 6: Final answer
    x = 838,233,049.48

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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.