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Finding the Third Proportional to 458,677.69 and 699,999.47

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Solution

The third proportional to 458,677.69 and 699,999.47 is: 1,068,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,677.69 : 699,999.47 = 699,999.47 : x
  2. Step 2: Convert to fraction form
    458,677.69/699,999.47 = 699,999.47/x
  3. Step 3: Cross multiply
    458,677.69x = 699,999.47 × 699,999.47
  4. Step 4: Simplify right side
    458,677.69x = 489,999,256,250.28
  5. Step 5: Solve for x
    x = 489,999,256,250.28/458,677.69
  6. Step 6: Final answer
    x = 1,068,286.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.