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Finding the Third Proportional to 920,180.67 and 1,405,182.30

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Solution

The third proportional to 920,180.67 and 1,405,182.30 is: 2,145,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,180.67 : 1,405,182.30 = 1,405,182.30 : x
  2. Step 2: Convert to fraction form
    920,180.67/1,405,182.30 = 1,405,182.30/x
  3. Step 3: Cross multiply
    920,180.67x = 1,405,182.30 × 1,405,182.30
  4. Step 4: Simplify right side
    920,180.67x = 1,974,537,309,406.87
  5. Step 5: Solve for x
    x = 1,974,537,309,406.87/920,180.67
  6. Step 6: Final answer
    x = 2,145,814.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.