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Finding the Third Proportional to 419,136.75 and 663,976.13

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Solution

The third proportional to 419,136.75 and 663,976.13 is: 1,051,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136.75 : 663,976.13 = 663,976.13 : x
  2. Step 2: Convert to fraction form
    419,136.75/663,976.13 = 663,976.13/x
  3. Step 3: Cross multiply
    419,136.75x = 663,976.13 × 663,976.13
  4. Step 4: Simplify right side
    419,136.75x = 440,864,294,570.02
  5. Step 5: Solve for x
    x = 440,864,294,570.02/419,136.75
  6. Step 6: Final answer
    x = 1,051,838.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.