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Finding the Third Proportional to 405,021 and 937,654.50

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Solution

The third proportional to 405,021 and 937,654.50 is: 2,170,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,021 : 937,654.50 = 937,654.50 : x
  2. Step 2: Convert to fraction form
    405,021/937,654.50 = 937,654.50/x
  3. Step 3: Cross multiply
    405,021x = 937,654.50 × 937,654.50
  4. Step 4: Simplify right side
    405,021x = 879,195,961,370.25
  5. Step 5: Solve for x
    x = 879,195,961,370.25/405,021
  6. Step 6: Final answer
    x = 2,170,741.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.