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Finding the Third Proportional to 500,513 and 775,653

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Solution

The third proportional to 500,513 and 775,653 is: 1,202,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,513 : 775,653 = 775,653 : x
  2. Step 2: Convert to fraction form
    500,513/775,653 = 775,653/x
  3. Step 3: Cross multiply
    500,513x = 775,653 × 775,653
  4. Step 4: Simplify right side
    500,513x = 601,637,576,409
  5. Step 5: Solve for x
    x = 601,637,576,409/500,513
  6. Step 6: Final answer
    x = 1,202,041.86

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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.