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Finding the Third Proportional to 426,052 and 640,181

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Solution

The third proportional to 426,052 and 640,181 is: 961,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,052 : 640,181 = 640,181 : x
  2. Step 2: Convert to fraction form
    426,052/640,181 = 640,181/x
  3. Step 3: Cross multiply
    426,052x = 640,181 × 640,181
  4. Step 4: Simplify right side
    426,052x = 409,831,712,761
  5. Step 5: Solve for x
    x = 409,831,712,761/426,052
  6. Step 6: Final answer
    x = 961,928.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.