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Finding the Third Proportional to 493,110.75 and 721,930.50

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Solution

The third proportional to 493,110.75 and 721,930.50 is: 1,056,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,110.75 : 721,930.50 = 721,930.50 : x
  2. Step 2: Convert to fraction form
    493,110.75/721,930.50 = 721,930.50/x
  3. Step 3: Cross multiply
    493,110.75x = 721,930.50 × 721,930.50
  4. Step 4: Simplify right side
    493,110.75x = 521,183,646,830.25
  5. Step 5: Solve for x
    x = 521,183,646,830.25/493,110.75
  6. Step 6: Final answer
    x = 1,056,930.21

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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.