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Finding the Third Proportional to 122,688 and 186,216

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Solution

The third proportional to 122,688 and 186,216 is: 282,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,688 : 186,216 = 186,216 : x
  2. Step 2: Convert to fraction form
    122,688/186,216 = 186,216/x
  3. Step 3: Cross multiply
    122,688x = 186,216 × 186,216
  4. Step 4: Simplify right side
    122,688x = 34,676,398,656
  5. Step 5: Solve for x
    x = 34,676,398,656/122,688
  6. Step 6: Final answer
    x = 282,638.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.