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Finding the Third Proportional to 500,709 and 768,561

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Solution

The third proportional to 500,709 and 768,561 is: 1,179,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,709 : 768,561 = 768,561 : x
  2. Step 2: Convert to fraction form
    500,709/768,561 = 768,561/x
  3. Step 3: Cross multiply
    500,709x = 768,561 × 768,561
  4. Step 4: Simplify right side
    500,709x = 590,686,010,721
  5. Step 5: Solve for x
    x = 590,686,010,721/500,709
  6. Step 6: Final answer
    x = 1,179,699.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.