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Finding the Third Proportional to 163,089 and 330,761.25

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Solution

The third proportional to 163,089 and 330,761.25 is: 670,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,089 : 330,761.25 = 330,761.25 : x
  2. Step 2: Convert to fraction form
    163,089/330,761.25 = 330,761.25/x
  3. Step 3: Cross multiply
    163,089x = 330,761.25 × 330,761.25
  4. Step 4: Simplify right side
    163,089x = 109,403,004,501.56
  5. Step 5: Solve for x
    x = 109,403,004,501.56/163,089
  6. Step 6: Final answer
    x = 670,817.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.