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Finding the Third Proportional to 180,087.75 and 386,417.25

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Solution

The third proportional to 180,087.75 and 386,417.25 is: 829,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,087.75 : 386,417.25 = 386,417.25 : x
  2. Step 2: Convert to fraction form
    180,087.75/386,417.25 = 386,417.25/x
  3. Step 3: Cross multiply
    180,087.75x = 386,417.25 × 386,417.25
  4. Step 4: Simplify right side
    180,087.75x = 149,318,291,097.56
  5. Step 5: Solve for x
    x = 149,318,291,097.56/180,087.75
  6. Step 6: Final answer
    x = 829,141.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.