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Finding the Third Proportional to 449,200.50 and 657,078.75

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Solution

The third proportional to 449,200.50 and 657,078.75 is: 961,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,200.50 : 657,078.75 = 657,078.75 : x
  2. Step 2: Convert to fraction form
    449,200.50/657,078.75 = 657,078.75/x
  3. Step 3: Cross multiply
    449,200.50x = 657,078.75 × 657,078.75
  4. Step 4: Simplify right side
    449,200.50x = 431,752,483,701.56
  5. Step 5: Solve for x
    x = 431,752,483,701.56/449,200.50
  6. Step 6: Final answer
    x = 961,157.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.