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Finding the Third Proportional to 39,813 and 84,746

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Solution

The third proportional to 39,813 and 84,746 is: 180,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,813 : 84,746 = 84,746 : x
  2. Step 2: Convert to fraction form
    39,813/84,746 = 84,746/x
  3. Step 3: Cross multiply
    39,813x = 84,746 × 84,746
  4. Step 4: Simplify right side
    39,813x = 7,181,884,516
  5. Step 5: Solve for x
    x = 7,181,884,516/39,813
  6. Step 6: Final answer
    x = 180,390.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.