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Finding the Third Proportional to 146,043 and 310,918.50

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Solution

The third proportional to 146,043 and 310,918.50 is: 661,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,043 : 310,918.50 = 310,918.50 : x
  2. Step 2: Convert to fraction form
    146,043/310,918.50 = 310,918.50/x
  3. Step 3: Cross multiply
    146,043x = 310,918.50 × 310,918.50
  4. Step 4: Simplify right side
    146,043x = 96,670,313,642.25
  5. Step 5: Solve for x
    x = 96,670,313,642.25/146,043
  6. Step 6: Final answer
    x = 661,930.48

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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.