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Finding the Third Proportional to 764,723 and 1,680,430

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Solution

The third proportional to 764,723 and 1,680,430 is: 3,692,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,723 : 1,680,430 = 1,680,430 : x
  2. Step 2: Convert to fraction form
    764,723/1,680,430 = 1,680,430/x
  3. Step 3: Cross multiply
    764,723x = 1,680,430 × 1,680,430
  4. Step 4: Simplify right side
    764,723x = 2,823,844,984,900
  5. Step 5: Solve for x
    x = 2,823,844,984,900/764,723
  6. Step 6: Final answer
    x = 3,692,637.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.