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Finding the Third Proportional to 180,878 and 386,674

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Solution

The third proportional to 180,878 and 386,674 is: 826,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878 : 386,674 = 386,674 : x
  2. Step 2: Convert to fraction form
    180,878/386,674 = 386,674/x
  3. Step 3: Cross multiply
    180,878x = 386,674 × 386,674
  4. Step 4: Simplify right side
    180,878x = 149,516,782,276
  5. Step 5: Solve for x
    x = 149,516,782,276/180,878
  6. Step 6: Final answer
    x = 826,616.74

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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.