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Finding the Third Proportional to 268,128 and 374,784

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Solution

The third proportional to 268,128 and 374,784 is: 523,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,128 : 374,784 = 374,784 : x
  2. Step 2: Convert to fraction form
    268,128/374,784 = 374,784/x
  3. Step 3: Cross multiply
    268,128x = 374,784 × 374,784
  4. Step 4: Simplify right side
    268,128x = 140,463,046,656
  5. Step 5: Solve for x
    x = 140,463,046,656/268,128
  6. Step 6: Final answer
    x = 523,865.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.