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Finding the Third Proportional to 146,046 and 310,924.50

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Solution

The third proportional to 146,046 and 310,924.50 is: 661,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,046 : 310,924.50 = 310,924.50 : x
  2. Step 2: Convert to fraction form
    146,046/310,924.50 = 310,924.50/x
  3. Step 3: Cross multiply
    146,046x = 310,924.50 × 310,924.50
  4. Step 4: Simplify right side
    146,046x = 96,674,044,700.25
  5. Step 5: Solve for x
    x = 96,674,044,700.25/146,046
  6. Step 6: Final answer
    x = 661,942.43

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