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Finding the Third Proportional to 500,490.50 and 775,616.50

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Solution

The third proportional to 500,490.50 and 775,616.50 is: 1,201,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,490.50 : 775,616.50 = 775,616.50 : x
  2. Step 2: Convert to fraction form
    500,490.50/775,616.50 = 775,616.50/x
  3. Step 3: Cross multiply
    500,490.50x = 775,616.50 × 775,616.50
  4. Step 4: Simplify right side
    500,490.50x = 601,580,955,072.25
  5. Step 5: Solve for x
    x = 601,580,955,072.25/500,490.50
  6. Step 6: Final answer
    x = 1,201,982.77

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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.