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Finding the Third Proportional to 498,180.63 and 699,045.56

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Solution

The third proportional to 498,180.63 and 699,045.56 is: 980,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,180.63 : 699,045.56 = 699,045.56 : x
  2. Step 2: Convert to fraction form
    498,180.63/699,045.56 = 699,045.56/x
  3. Step 3: Cross multiply
    498,180.63x = 699,045.56 × 699,045.56
  4. Step 4: Simplify right side
    498,180.63x = 488,664,698,450.94
  5. Step 5: Solve for x
    x = 488,664,698,450.94/498,180.63
  6. Step 6: Final answer
    x = 980,898.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.