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Finding the Third Proportional to 92,554,633 and 135,424,942.50

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Solution

The third proportional to 92,554,633 and 135,424,942.50 is: 198,152,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,554,633 : 135,424,942.50 = 135,424,942.50 : x
  2. Step 2: Convert to fraction form
    92,554,633/135,424,942.50 = 135,424,942.50/x
  3. Step 3: Cross multiply
    92,554,633x = 135,424,942.50 × 135,424,942.50
  4. Step 4: Simplify right side
    92,554,633x = 18,339,915,051,128,308
  5. Step 5: Solve for x
    x = 18,339,915,051,128,308/92,554,633
  6. Step 6: Final answer
    x = 198,152,317.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.