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Finding the Third Proportional to 609,480.75 and 945,034.50

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Solution

The third proportional to 609,480.75 and 945,034.50 is: 1,465,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,480.75 : 945,034.50 = 945,034.50 : x
  2. Step 2: Convert to fraction form
    609,480.75/945,034.50 = 945,034.50/x
  3. Step 3: Cross multiply
    609,480.75x = 945,034.50 × 945,034.50
  4. Step 4: Simplify right side
    609,480.75x = 893,090,206,190.25
  5. Step 5: Solve for x
    x = 893,090,206,190.25/609,480.75
  6. Step 6: Final answer
    x = 1,465,329.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.