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Finding the Third Proportional to 207,900 and 316,224

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Solution

The third proportional to 207,900 and 316,224 is: 480,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,900 : 316,224 = 316,224 : x
  2. Step 2: Convert to fraction form
    207,900/316,224 = 316,224/x
  3. Step 3: Cross multiply
    207,900x = 316,224 × 316,224
  4. Step 4: Simplify right side
    207,900x = 99,997,618,176
  5. Step 5: Solve for x
    x = 99,997,618,176/207,900
  6. Step 6: Final answer
    x = 480,989.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.