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Finding the Third Proportional to 407,646 and 673,740

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Solution

The third proportional to 407,646 and 673,740 is: 1,113,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,646 : 673,740 = 673,740 : x
  2. Step 2: Convert to fraction form
    407,646/673,740 = 673,740/x
  3. Step 3: Cross multiply
    407,646x = 673,740 × 673,740
  4. Step 4: Simplify right side
    407,646x = 453,925,587,600
  5. Step 5: Solve for x
    x = 453,925,587,600/407,646
  6. Step 6: Final answer
    x = 1,113,528.86

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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.