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Finding the Third Proportional to 407,878.50 and 453,805.50

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Solution

The third proportional to 407,878.50 and 453,805.50 is: 504,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,878.50 : 453,805.50 = 453,805.50 : x
  2. Step 2: Convert to fraction form
    407,878.50/453,805.50 = 453,805.50/x
  3. Step 3: Cross multiply
    407,878.50x = 453,805.50 × 453,805.50
  4. Step 4: Simplify right side
    407,878.50x = 205,939,431,830.25
  5. Step 5: Solve for x
    x = 205,939,431,830.25/407,878.50
  6. Step 6: Final answer
    x = 504,903.87

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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.