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Finding the Third Proportional to 180,569.25 and 389,711.25

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Solution

The third proportional to 180,569.25 and 389,711.25 is: 841,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,569.25 : 389,711.25 = 389,711.25 : x
  2. Step 2: Convert to fraction form
    180,569.25/389,711.25 = 389,711.25/x
  3. Step 3: Cross multiply
    180,569.25x = 389,711.25 × 389,711.25
  4. Step 4: Simplify right side
    180,569.25x = 151,874,858,376.56
  5. Step 5: Solve for x
    x = 151,874,858,376.56/180,569.25
  6. Step 6: Final answer
    x = 841,089.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.