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Finding the Third Proportional to 188,224 and 402,688

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Solution

The third proportional to 188,224 and 402,688 is: 861,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,224 : 402,688 = 402,688 : x
  2. Step 2: Convert to fraction form
    188,224/402,688 = 402,688/x
  3. Step 3: Cross multiply
    188,224x = 402,688 × 402,688
  4. Step 4: Simplify right side
    188,224x = 162,157,625,344
  5. Step 5: Solve for x
    x = 162,157,625,344/188,224
  6. Step 6: Final answer
    x = 861,514.08

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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.