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Finding the Third Proportional to 418,311 and 640,021.50

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Solution

The third proportional to 418,311 and 640,021.50 is: 979,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,311 : 640,021.50 = 640,021.50 : x
  2. Step 2: Convert to fraction form
    418,311/640,021.50 = 640,021.50/x
  3. Step 3: Cross multiply
    418,311x = 640,021.50 × 640,021.50
  4. Step 4: Simplify right side
    418,311x = 409,627,520,462.25
  5. Step 5: Solve for x
    x = 409,627,520,462.25/418,311
  6. Step 6: Final answer
    x = 979,241.57

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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.