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Finding the Third Proportional to 68,986 and 147,139

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Solution

The third proportional to 68,986 and 147,139 is: 313,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,986 : 147,139 = 147,139 : x
  2. Step 2: Convert to fraction form
    68,986/147,139 = 147,139/x
  3. Step 3: Cross multiply
    68,986x = 147,139 × 147,139
  4. Step 4: Simplify right side
    68,986x = 21,649,885,321
  5. Step 5: Solve for x
    x = 21,649,885,321/68,986
  6. Step 6: Final answer
    x = 313,830.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.