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Finding the Third Proportional to 180,388 and 402,184

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Solution

The third proportional to 180,388 and 402,184 is: 896,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,388 : 402,184 = 402,184 : x
  2. Step 2: Convert to fraction form
    180,388/402,184 = 402,184/x
  3. Step 3: Cross multiply
    180,388x = 402,184 × 402,184
  4. Step 4: Simplify right side
    180,388x = 161,751,969,856
  5. Step 5: Solve for x
    x = 161,751,969,856/180,388
  6. Step 6: Final answer
    x = 896,689.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.