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Finding the Third Proportional to 84,420 and 185,688

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Solution

The third proportional to 84,420 and 185,688 is: 408,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,420 : 185,688 = 185,688 : x
  2. Step 2: Convert to fraction form
    84,420/185,688 = 185,688/x
  3. Step 3: Cross multiply
    84,420x = 185,688 × 185,688
  4. Step 4: Simplify right side
    84,420x = 34,480,033,344
  5. Step 5: Solve for x
    x = 34,480,033,344/84,420
  6. Step 6: Final answer
    x = 408,434.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.