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Finding the Third Proportional to 152,149,108 and 231,133,182

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Solution

The third proportional to 152,149,108 and 231,133,182 is: 351,119,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,149,108 : 231,133,182 = 231,133,182 : x
  2. Step 2: Convert to fraction form
    152,149,108/231,133,182 = 231,133,182/x
  3. Step 3: Cross multiply
    152,149,108x = 231,133,182 × 231,133,182
  4. Step 4: Simplify right side
    152,149,108x = 53,422,547,821,445,120
  5. Step 5: Solve for x
    x = 53,422,547,821,445,120/152,149,108
  6. Step 6: Final answer
    x = 351,119,691.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.