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Finding the Third Proportional to 82,830.38 and 180,159.75

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Solution

The third proportional to 82,830.38 and 180,159.75 is: 391,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,830.38 : 180,159.75 = 180,159.75 : x
  2. Step 2: Convert to fraction form
    82,830.38/180,159.75 = 180,159.75/x
  3. Step 3: Cross multiply
    82,830.38x = 180,159.75 × 180,159.75
  4. Step 4: Simplify right side
    82,830.38x = 32,457,535,520.06
  5. Step 5: Solve for x
    x = 32,457,535,520.06/82,830.38
  6. Step 6: Final answer
    x = 391,855.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.