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Finding the Third Proportional to 62,784 and 87,992

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Solution

The third proportional to 62,784 and 87,992 is: 123,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,784 : 87,992 = 87,992 : x
  2. Step 2: Convert to fraction form
    62,784/87,992 = 87,992/x
  3. Step 3: Cross multiply
    62,784x = 87,992 × 87,992
  4. Step 4: Simplify right side
    62,784x = 7,742,592,064
  5. Step 5: Solve for x
    x = 7,742,592,064/62,784
  6. Step 6: Final answer
    x = 123,321.10

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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.