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Finding the Third Proportional to 180,397.13 and 389,395.69

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Solution

The third proportional to 180,397.13 and 389,395.69 is: 840,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,397.13 : 389,395.69 = 389,395.69 : x
  2. Step 2: Convert to fraction form
    180,397.13/389,395.69 = 389,395.69/x
  3. Step 3: Cross multiply
    180,397.13x = 389,395.69 × 389,395.69
  4. Step 4: Simplify right side
    180,397.13x = 151,629,001,443.60
  5. Step 5: Solve for x
    x = 151,629,001,443.60/180,397.13
  6. Step 6: Final answer
    x = 840,528.92

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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.