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Finding the Third Proportional to 289,031.25 and 609,222.75

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Solution

The third proportional to 289,031.25 and 609,222.75 is: 1,284,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,031.25 : 609,222.75 = 609,222.75 : x
  2. Step 2: Convert to fraction form
    289,031.25/609,222.75 = 609,222.75/x
  3. Step 3: Cross multiply
    289,031.25x = 609,222.75 × 609,222.75
  4. Step 4: Simplify right side
    289,031.25x = 371,152,359,117.56
  5. Step 5: Solve for x
    x = 371,152,359,117.56/289,031.25
  6. Step 6: Final answer
    x = 1,284,125.36

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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.