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Finding the Third Proportional to 427,830.75 and 640,413

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Solution

The third proportional to 427,830.75 and 640,413 is: 958,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,830.75 : 640,413 = 640,413 : x
  2. Step 2: Convert to fraction form
    427,830.75/640,413 = 640,413/x
  3. Step 3: Cross multiply
    427,830.75x = 640,413 × 640,413
  4. Step 4: Simplify right side
    427,830.75x = 410,128,810,569
  5. Step 5: Solve for x
    x = 410,128,810,569/427,830.75
  6. Step 6: Final answer
    x = 958,623.97

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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.