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Finding the Third Proportional to 115,189.12 and 180,307.90

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Solution

The third proportional to 115,189.12 and 180,307.90 is: 282,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,189.12 : 180,307.90 = 180,307.90 : x
  2. Step 2: Convert to fraction form
    115,189.12/180,307.90 = 180,307.90/x
  3. Step 3: Cross multiply
    115,189.12x = 180,307.90 × 180,307.90
  4. Step 4: Simplify right side
    115,189.12x = 32,510,938,238.95
  5. Step 5: Solve for x
    x = 32,510,938,238.95/115,189.12
  6. Step 6: Final answer
    x = 282,239.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.