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Finding the Third Proportional to 119,783,043 and 178,876,228.50

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Solution

The third proportional to 119,783,043 and 178,876,228.50 is: 267,122,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,783,043 : 178,876,228.50 = 178,876,228.50 : x
  2. Step 2: Convert to fraction form
    119,783,043/178,876,228.50 = 178,876,228.50/x
  3. Step 3: Cross multiply
    119,783,043x = 178,876,228.50 × 178,876,228.50
  4. Step 4: Simplify right side
    119,783,043x = 31,996,705,122,384,212
  5. Step 5: Solve for x
    x = 31,996,705,122,384,212/119,783,043
  6. Step 6: Final answer
    x = 267,122,159.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.