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Finding the Third Proportional to 161,432 and 318,724

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Solution

The third proportional to 161,432 and 318,724 is: 629,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,432 : 318,724 = 318,724 : x
  2. Step 2: Convert to fraction form
    161,432/318,724 = 318,724/x
  3. Step 3: Cross multiply
    161,432x = 318,724 × 318,724
  4. Step 4: Simplify right side
    161,432x = 101,584,988,176
  5. Step 5: Solve for x
    x = 101,584,988,176/161,432
  6. Step 6: Final answer
    x = 629,274.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.