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Finding the Third Proportional to 39,582 and 55,728

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Solution

The third proportional to 39,582 and 55,728 is: 78,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,582 : 55,728 = 55,728 : x
  2. Step 2: Convert to fraction form
    39,582/55,728 = 55,728/x
  3. Step 3: Cross multiply
    39,582x = 55,728 × 55,728
  4. Step 4: Simplify right side
    39,582x = 3,105,609,984
  5. Step 5: Solve for x
    x = 3,105,609,984/39,582
  6. Step 6: Final answer
    x = 78,460.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.