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Finding the Third Proportional to 180,398.75 and 389,704.25

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Solution

The third proportional to 180,398.75 and 389,704.25 is: 841,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,398.75 : 389,704.25 = 389,704.25 : x
  2. Step 2: Convert to fraction form
    180,398.75/389,704.25 = 389,704.25/x
  3. Step 3: Cross multiply
    180,398.75x = 389,704.25 × 389,704.25
  4. Step 4: Simplify right side
    180,398.75x = 151,869,402,468.06
  5. Step 5: Solve for x
    x = 151,869,402,468.06/180,398.75
  6. Step 6: Final answer
    x = 841,853.96

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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.