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Finding the Third Proportional to 407,653.50 and 673,749

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Solution

The third proportional to 407,653.50 and 673,749 is: 1,113,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,653.50 : 673,749 = 673,749 : x
  2. Step 2: Convert to fraction form
    407,653.50/673,749 = 673,749/x
  3. Step 3: Cross multiply
    407,653.50x = 673,749 × 673,749
  4. Step 4: Simplify right side
    407,653.50x = 453,937,715,001
  5. Step 5: Solve for x
    x = 453,937,715,001/407,653.50
  6. Step 6: Final answer
    x = 1,113,538.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.