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Finding the Third Proportional to 236,740 and 318,963

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Solution

The third proportional to 236,740 and 318,963 is: 429,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,740 : 318,963 = 318,963 : x
  2. Step 2: Convert to fraction form
    236,740/318,963 = 318,963/x
  3. Step 3: Cross multiply
    236,740x = 318,963 × 318,963
  4. Step 4: Simplify right side
    236,740x = 101,737,395,369
  5. Step 5: Solve for x
    x = 101,737,395,369/236,740
  6. Step 6: Final answer
    x = 429,743.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.