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Finding the Third Proportional to 405,765 and 633,211.50

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Solution

The third proportional to 405,765 and 633,211.50 is: 988,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,765 : 633,211.50 = 633,211.50 : x
  2. Step 2: Convert to fraction form
    405,765/633,211.50 = 633,211.50/x
  3. Step 3: Cross multiply
    405,765x = 633,211.50 × 633,211.50
  4. Step 4: Simplify right side
    405,765x = 400,956,803,732.25
  5. Step 5: Solve for x
    x = 400,956,803,732.25/405,765
  6. Step 6: Final answer
    x = 988,150.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.