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Finding the Third Proportional to 180,658.50 and 389,065

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Solution

The third proportional to 180,658.50 and 389,065 is: 837,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,658.50 : 389,065 = 389,065 : x
  2. Step 2: Convert to fraction form
    180,658.50/389,065 = 389,065/x
  3. Step 3: Cross multiply
    180,658.50x = 389,065 × 389,065
  4. Step 4: Simplify right side
    180,658.50x = 151,371,574,225
  5. Step 5: Solve for x
    x = 151,371,574,225/180,658.50
  6. Step 6: Final answer
    x = 837,887.92

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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.