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Finding the Third Proportional to 74,724 and 155,784

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Solution

The third proportional to 74,724 and 155,784 is: 324,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,724 : 155,784 = 155,784 : x
  2. Step 2: Convert to fraction form
    74,724/155,784 = 155,784/x
  3. Step 3: Cross multiply
    74,724x = 155,784 × 155,784
  4. Step 4: Simplify right side
    74,724x = 24,268,654,656
  5. Step 5: Solve for x
    x = 24,268,654,656/74,724
  6. Step 6: Final answer
    x = 324,777.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.