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Finding the Third Proportional to 310,052.81 and 669,313.13

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Solution

The third proportional to 310,052.81 and 669,313.13 is: 1,444,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,052.81 : 669,313.13 = 669,313.13 : x
  2. Step 2: Convert to fraction form
    310,052.81/669,313.13 = 669,313.13/x
  3. Step 3: Cross multiply
    310,052.81x = 669,313.13 × 669,313.13
  4. Step 4: Simplify right side
    310,052.81x = 447,980,059,297.27
  5. Step 5: Solve for x
    x = 447,980,059,297.27/310,052.81
  6. Step 6: Final answer
    x = 1,444,850.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.