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Finding the Third Proportional to 68,071.50 and 147,321

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Solution

The third proportional to 68,071.50 and 147,321 is: 318,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,071.50 : 147,321 = 147,321 : x
  2. Step 2: Convert to fraction form
    68,071.50/147,321 = 147,321/x
  3. Step 3: Cross multiply
    68,071.50x = 147,321 × 147,321
  4. Step 4: Simplify right side
    68,071.50x = 21,703,477,041
  5. Step 5: Solve for x
    x = 21,703,477,041/68,071.50
  6. Step 6: Final answer
    x = 318,833.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.