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Finding the Third Proportional to 68,231 and 147,316

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Solution

The third proportional to 68,231 and 147,316 is: 318,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231 : 147,316 = 147,316 : x
  2. Step 2: Convert to fraction form
    68,231/147,316 = 147,316/x
  3. Step 3: Cross multiply
    68,231x = 147,316 × 147,316
  4. Step 4: Simplify right side
    68,231x = 21,702,003,856
  5. Step 5: Solve for x
    x = 21,702,003,856/68,231
  6. Step 6: Final answer
    x = 318,066.62

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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.