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Finding the Third Proportional to 146,553 and 311,091

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Solution

The third proportional to 146,553 and 311,091 is: 660,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,553 : 311,091 = 311,091 : x
  2. Step 2: Convert to fraction form
    146,553/311,091 = 311,091/x
  3. Step 3: Cross multiply
    146,553x = 311,091 × 311,091
  4. Step 4: Simplify right side
    146,553x = 96,777,610,281
  5. Step 5: Solve for x
    x = 96,777,610,281/146,553
  6. Step 6: Final answer
    x = 660,359.12

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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.