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Finding the Third Proportional to 422,113 and 632,436

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Solution

The third proportional to 422,113 and 632,436 is: 947,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,113 : 632,436 = 632,436 : x
  2. Step 2: Convert to fraction form
    422,113/632,436 = 632,436/x
  3. Step 3: Cross multiply
    422,113x = 632,436 × 632,436
  4. Step 4: Simplify right side
    422,113x = 399,975,294,096
  5. Step 5: Solve for x
    x = 399,975,294,096/422,113
  6. Step 6: Final answer
    x = 947,555.02

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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.