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Finding the Third Proportional to 155,600 and 316,912

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Solution

The third proportional to 155,600 and 316,912 is: 645,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,600 : 316,912 = 316,912 : x
  2. Step 2: Convert to fraction form
    155,600/316,912 = 316,912/x
  3. Step 3: Cross multiply
    155,600x = 316,912 × 316,912
  4. Step 4: Simplify right side
    155,600x = 100,433,215,744
  5. Step 5: Solve for x
    x = 100,433,215,744/155,600
  6. Step 6: Final answer
    x = 645,457.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.