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Finding the Third Proportional to 180,064 and 386,818

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Solution

The third proportional to 180,064 and 386,818 is: 830,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,064 : 386,818 = 386,818 : x
  2. Step 2: Convert to fraction form
    180,064/386,818 = 386,818/x
  3. Step 3: Cross multiply
    180,064x = 386,818 × 386,818
  4. Step 4: Simplify right side
    180,064x = 149,628,165,124
  5. Step 5: Solve for x
    x = 149,628,165,124/180,064
  6. Step 6: Final answer
    x = 830,972.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.