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Finding the Third Proportional to 84,643 and 180,947

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Solution

The third proportional to 84,643 and 180,947 is: 386,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643 : 180,947 = 180,947 : x
  2. Step 2: Convert to fraction form
    84,643/180,947 = 180,947/x
  3. Step 3: Cross multiply
    84,643x = 180,947 × 180,947
  4. Step 4: Simplify right side
    84,643x = 32,741,816,809
  5. Step 5: Solve for x
    x = 32,741,816,809/84,643
  6. Step 6: Final answer
    x = 386,822.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.