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Finding the Third Proportional to 147,166 and 311,862

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Solution

The third proportional to 147,166 and 311,862 is: 660,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,166 : 311,862 = 311,862 : x
  2. Step 2: Convert to fraction form
    147,166/311,862 = 311,862/x
  3. Step 3: Cross multiply
    147,166x = 311,862 × 311,862
  4. Step 4: Simplify right side
    147,166x = 97,257,907,044
  5. Step 5: Solve for x
    x = 97,257,907,044/147,166
  6. Step 6: Final answer
    x = 660,872.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.