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Finding the Third Proportional to 422,637.75 and 618,784.31

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Solution

The third proportional to 422,637.75 and 618,784.31 is: 905,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,637.75 : 618,784.31 = 618,784.31 : x
  2. Step 2: Convert to fraction form
    422,637.75/618,784.31 = 618,784.31/x
  3. Step 3: Cross multiply
    422,637.75x = 618,784.31 × 618,784.31
  4. Step 4: Simplify right side
    422,637.75x = 382,894,025,396.10
  5. Step 5: Solve for x
    x = 382,894,025,396.10/422,637.75
  6. Step 6: Final answer
    x = 905,962.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.