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Finding the Third Proportional to 146,718 and 312,813.75

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Solution

The third proportional to 146,718 and 312,813.75 is: 666,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,718 : 312,813.75 = 312,813.75 : x
  2. Step 2: Convert to fraction form
    146,718/312,813.75 = 312,813.75/x
  3. Step 3: Cross multiply
    146,718x = 312,813.75 × 312,813.75
  4. Step 4: Simplify right side
    146,718x = 97,852,442,189.06
  5. Step 5: Solve for x
    x = 97,852,442,189.06/146,718
  6. Step 6: Final answer
    x = 666,942.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.