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Finding the Third Proportional to 450,072 and 678,564

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Solution

The third proportional to 450,072 and 678,564 is: 1,023,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,072 : 678,564 = 678,564 : x
  2. Step 2: Convert to fraction form
    450,072/678,564 = 678,564/x
  3. Step 3: Cross multiply
    450,072x = 678,564 × 678,564
  4. Step 4: Simplify right side
    450,072x = 460,449,102,096
  5. Step 5: Solve for x
    x = 460,449,102,096/450,072
  6. Step 6: Final answer
    x = 1,023,056.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.