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Finding the Third Proportional to 500,489.30 and 775,614.87

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Solution

The third proportional to 500,489.30 and 775,614.87 is: 1,201,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,489.30 : 775,614.87 = 775,614.87 : x
  2. Step 2: Convert to fraction form
    500,489.30/775,614.87 = 775,614.87/x
  3. Step 3: Cross multiply
    500,489.30x = 775,614.87 × 775,614.87
  4. Step 4: Simplify right side
    500,489.30x = 601,578,422,202.28
  5. Step 5: Solve for x
    x = 601,578,422,202.28/500,489.30
  6. Step 6: Final answer
    x = 1,201,980.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.