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Finding the Third Proportional to 300,018,273 and 450,826,209

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Solution

The third proportional to 300,018,273 and 450,826,209 is: 677,439,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,273 : 450,826,209 = 450,826,209 : x
  2. Step 2: Convert to fraction form
    300,018,273/450,826,209 = 450,826,209/x
  3. Step 3: Cross multiply
    300,018,273x = 450,826,209 × 450,826,209
  4. Step 4: Simplify right side
    300,018,273x = 203,244,270,721,311,680
  5. Step 5: Solve for x
    x = 203,244,270,721,311,680/300,018,273
  6. Step 6: Final answer
    x = 677,439,639.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.