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Finding the Third Proportional to 438,005 and 484,085

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Solution

The third proportional to 438,005 and 484,085 is: 535,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,005 : 484,085 = 484,085 : x
  2. Step 2: Convert to fraction form
    438,005/484,085 = 484,085/x
  3. Step 3: Cross multiply
    438,005x = 484,085 × 484,085
  4. Step 4: Simplify right side
    438,005x = 234,338,287,225
  5. Step 5: Solve for x
    x = 234,338,287,225/438,005
  6. Step 6: Final answer
    x = 535,012.81

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.