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Finding the Third Proportional to 207,276 and 314,966

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Solution

The third proportional to 207,276 and 314,966 is: 478,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,276 : 314,966 = 314,966 : x
  2. Step 2: Convert to fraction form
    207,276/314,966 = 314,966/x
  3. Step 3: Cross multiply
    207,276x = 314,966 × 314,966
  4. Step 4: Simplify right side
    207,276x = 99,203,581,156
  5. Step 5: Solve for x
    x = 99,203,581,156/207,276
  6. Step 6: Final answer
    x = 478,606.21

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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.