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Finding the Third Proportional to 84,645 and 180,540

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Solution

The third proportional to 84,645 and 180,540 is: 385,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645 : 180,540 = 180,540 : x
  2. Step 2: Convert to fraction form
    84,645/180,540 = 180,540/x
  3. Step 3: Cross multiply
    84,645x = 180,540 × 180,540
  4. Step 4: Simplify right side
    84,645x = 32,594,691,600
  5. Step 5: Solve for x
    x = 32,594,691,600/84,645
  6. Step 6: Final answer
    x = 385,075.22

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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.