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Finding the Third Proportional to 161,430 and 318,720

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Solution

The third proportional to 161,430 and 318,720 is: 629,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,430 : 318,720 = 318,720 : x
  2. Step 2: Convert to fraction form
    161,430/318,720 = 318,720/x
  3. Step 3: Cross multiply
    161,430x = 318,720 × 318,720
  4. Step 4: Simplify right side
    161,430x = 101,582,438,400
  5. Step 5: Solve for x
    x = 101,582,438,400/161,430
  6. Step 6: Final answer
    x = 629,266.17

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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.