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Finding the Third Proportional to 147,115 and 314,966

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Solution

The third proportional to 147,115 and 314,966 is: 674,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,115 : 314,966 = 314,966 : x
  2. Step 2: Convert to fraction form
    147,115/314,966 = 314,966/x
  3. Step 3: Cross multiply
    147,115x = 314,966 × 314,966
  4. Step 4: Simplify right side
    147,115x = 99,203,581,156
  5. Step 5: Solve for x
    x = 99,203,581,156/147,115
  6. Step 6: Final answer
    x = 674,326.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.