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Finding the Third Proportional to 68,688 and 141,786

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Solution

The third proportional to 68,688 and 141,786 is: 292,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,688 : 141,786 = 141,786 : x
  2. Step 2: Convert to fraction form
    68,688/141,786 = 141,786/x
  3. Step 3: Cross multiply
    68,688x = 141,786 × 141,786
  4. Step 4: Simplify right side
    68,688x = 20,103,269,796
  5. Step 5: Solve for x
    x = 20,103,269,796/68,688
  6. Step 6: Final answer
    x = 292,675.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.