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Finding the Third Proportional to 122,566.50 and 289,794.38

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Solution

The third proportional to 122,566.50 and 289,794.38 is: 685,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,566.50 : 289,794.38 = 289,794.38 : x
  2. Step 2: Convert to fraction form
    122,566.50/289,794.38 = 289,794.38/x
  3. Step 3: Cross multiply
    122,566.50x = 289,794.38 × 289,794.38
  4. Step 4: Simplify right side
    122,566.50x = 83,980,779,781.64
  5. Step 5: Solve for x
    x = 83,980,779,781.64/122,566.50
  6. Step 6: Final answer
    x = 685,185.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.