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Finding the Third Proportional to 289,048.50 and 609,256.69

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Solution

The third proportional to 289,048.50 and 609,256.69 is: 1,284,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,048.50 : 609,256.69 = 609,256.69 : x
  2. Step 2: Convert to fraction form
    289,048.50/609,256.69 = 609,256.69/x
  3. Step 3: Cross multiply
    289,048.50x = 609,256.69 × 609,256.69
  4. Step 4: Simplify right side
    289,048.50x = 371,193,711,263.47
  5. Step 5: Solve for x
    x = 371,193,711,263.47/289,048.50
  6. Step 6: Final answer
    x = 1,284,191.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.