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Finding the Third Proportional to 120,567.38 and 261,890.63

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Solution

The third proportional to 120,567.38 and 261,890.63 is: 568,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,567.38 : 261,890.63 = 261,890.63 : x
  2. Step 2: Convert to fraction form
    120,567.38/261,890.63 = 261,890.63/x
  3. Step 3: Cross multiply
    120,567.38x = 261,890.63 × 261,890.63
  4. Step 4: Simplify right side
    120,567.38x = 68,586,699,462.89
  5. Step 5: Solve for x
    x = 68,586,699,462.89/120,567.38
  6. Step 6: Final answer
    x = 568,866.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.