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Finding the Third Proportional to 431,412.75 and 676,795.50

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Solution

The third proportional to 431,412.75 and 676,795.50 is: 1,061,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,412.75 : 676,795.50 = 676,795.50 : x
  2. Step 2: Convert to fraction form
    431,412.75/676,795.50 = 676,795.50/x
  3. Step 3: Cross multiply
    431,412.75x = 676,795.50 × 676,795.50
  4. Step 4: Simplify right side
    431,412.75x = 458,052,148,820.25
  5. Step 5: Solve for x
    x = 458,052,148,820.25/431,412.75
  6. Step 6: Final answer
    x = 1,061,749.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.