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Finding the Third Proportional to 146,502 and 310,996.13

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Solution

The third proportional to 146,502 and 310,996.13 is: 660,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,502 : 310,996.13 = 310,996.13 : x
  2. Step 2: Convert to fraction form
    146,502/310,996.13 = 310,996.13/x
  3. Step 3: Cross multiply
    146,502x = 310,996.13 × 310,996.13
  4. Step 4: Simplify right side
    146,502x = 96,718,589,765.02
  5. Step 5: Solve for x
    x = 96,718,589,765.02/146,502
  6. Step 6: Final answer
    x = 660,186.14

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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.