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Finding the Third Proportional to 442,887.75 and 670,480.88

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Solution

The third proportional to 442,887.75 and 670,480.88 is: 1,015,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,887.75 : 670,480.88 = 670,480.88 : x
  2. Step 2: Convert to fraction form
    442,887.75/670,480.88 = 670,480.88/x
  3. Step 3: Cross multiply
    442,887.75x = 670,480.88 × 670,480.88
  4. Step 4: Simplify right side
    442,887.75x = 449,544,603,740.77
  5. Step 5: Solve for x
    x = 449,544,603,740.77/442,887.75
  6. Step 6: Final answer
    x = 1,015,030.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.