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Finding the Third Proportional to 291,377 and 439,745.50

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Solution

The third proportional to 291,377 and 439,745.50 is: 663,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,377 : 439,745.50 = 439,745.50 : x
  2. Step 2: Convert to fraction form
    291,377/439,745.50 = 439,745.50/x
  3. Step 3: Cross multiply
    291,377x = 439,745.50 × 439,745.50
  4. Step 4: Simplify right side
    291,377x = 193,376,104,770.25
  5. Step 5: Solve for x
    x = 193,376,104,770.25/291,377
  6. Step 6: Final answer
    x = 663,662.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.