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Finding the Third Proportional to 407,652.75 and 673,751.25

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Solution

The third proportional to 407,652.75 and 673,751.25 is: 1,113,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,652.75 : 673,751.25 = 673,751.25 : x
  2. Step 2: Convert to fraction form
    407,652.75/673,751.25 = 673,751.25/x
  3. Step 3: Cross multiply
    407,652.75x = 673,751.25 × 673,751.25
  4. Step 4: Simplify right side
    407,652.75x = 453,940,746,876.56
  5. Step 5: Solve for x
    x = 453,940,746,876.56/407,652.75
  6. Step 6: Final answer
    x = 1,113,547.61

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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.