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Finding the Third Proportional to 68,688 and 140,778

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Solution

The third proportional to 68,688 and 140,778 is: 288,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,688 : 140,778 = 140,778 : x
  2. Step 2: Convert to fraction form
    68,688/140,778 = 140,778/x
  3. Step 3: Cross multiply
    68,688x = 140,778 × 140,778
  4. Step 4: Simplify right side
    68,688x = 19,818,445,284
  5. Step 5: Solve for x
    x = 19,818,445,284/68,688
  6. Step 6: Final answer
    x = 288,528.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.