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Finding the Third Proportional to 188,599 and 256,287

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Solution

The third proportional to 188,599 and 256,287 is: 348,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,599 : 256,287 = 256,287 : x
  2. Step 2: Convert to fraction form
    188,599/256,287 = 256,287/x
  3. Step 3: Cross multiply
    188,599x = 256,287 × 256,287
  4. Step 4: Simplify right side
    188,599x = 65,683,026,369
  5. Step 5: Solve for x
    x = 65,683,026,369/188,599
  6. Step 6: Final answer
    x = 348,268.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.