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Finding the Third Proportional to 102,963 and 188,840

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Solution

The third proportional to 102,963 and 188,840 is: 346,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,963 : 188,840 = 188,840 : x
  2. Step 2: Convert to fraction form
    102,963/188,840 = 188,840/x
  3. Step 3: Cross multiply
    102,963x = 188,840 × 188,840
  4. Step 4: Simplify right side
    102,963x = 35,660,545,600
  5. Step 5: Solve for x
    x = 35,660,545,600/102,963
  6. Step 6: Final answer
    x = 346,343.30

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.