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Finding the Third Proportional to 71,424 and 107,784

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Solution

The third proportional to 71,424 and 107,784 is: 162,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424 : 107,784 = 107,784 : x
  2. Step 2: Convert to fraction form
    71,424/107,784 = 107,784/x
  3. Step 3: Cross multiply
    71,424x = 107,784 × 107,784
  4. Step 4: Simplify right side
    71,424x = 11,617,390,656
  5. Step 5: Solve for x
    x = 11,617,390,656/71,424
  6. Step 6: Final answer
    x = 162,653.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.