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Finding the Third Proportional to 436,905 and 678,676.50

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Solution

The third proportional to 436,905 and 678,676.50 is: 1,054,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,905 : 678,676.50 = 678,676.50 : x
  2. Step 2: Convert to fraction form
    436,905/678,676.50 = 678,676.50/x
  3. Step 3: Cross multiply
    436,905x = 678,676.50 × 678,676.50
  4. Step 4: Simplify right side
    436,905x = 460,601,791,652.25
  5. Step 5: Solve for x
    x = 460,601,791,652.25/436,905
  6. Step 6: Final answer
    x = 1,054,237.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.