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Finding the Third Proportional to 455,442.75 and 696,969.56

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Solution

The third proportional to 455,442.75 and 696,969.56 is: 1,066,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,442.75 : 696,969.56 = 696,969.56 : x
  2. Step 2: Convert to fraction form
    455,442.75/696,969.56 = 696,969.56/x
  3. Step 3: Cross multiply
    455,442.75x = 696,969.56 × 696,969.56
  4. Step 4: Simplify right side
    455,442.75x = 485,766,571,051.44
  5. Step 5: Solve for x
    x = 485,766,571,051.44/455,442.75
  6. Step 6: Final answer
    x = 1,066,580.97

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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.