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Finding the Third Proportional to 289,050.75 and 609,261.75

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Solution

The third proportional to 289,050.75 and 609,261.75 is: 1,284,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,050.75 : 609,261.75 = 609,261.75 : x
  2. Step 2: Convert to fraction form
    289,050.75/609,261.75 = 609,261.75/x
  3. Step 3: Cross multiply
    289,050.75x = 609,261.75 × 609,261.75
  4. Step 4: Simplify right side
    289,050.75x = 371,199,880,013.06
  5. Step 5: Solve for x
    x = 371,199,880,013.06/289,050.75
  6. Step 6: Final answer
    x = 1,284,203.14

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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.