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Finding the Third Proportional to 39,140 and 84,664

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Solution

The third proportional to 39,140 and 84,664 is: 183,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,140 : 84,664 = 84,664 : x
  2. Step 2: Convert to fraction form
    39,140/84,664 = 84,664/x
  3. Step 3: Cross multiply
    39,140x = 84,664 × 84,664
  4. Step 4: Simplify right side
    39,140x = 7,167,992,896
  5. Step 5: Solve for x
    x = 7,167,992,896/39,140
  6. Step 6: Final answer
    x = 183,137.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.