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Finding the Third Proportional to 310,052.81 and 438,846.19

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Solution

The third proportional to 310,052.81 and 438,846.19 is: 621,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,052.81 : 438,846.19 = 438,846.19 : x
  2. Step 2: Convert to fraction form
    310,052.81/438,846.19 = 438,846.19/x
  3. Step 3: Cross multiply
    310,052.81x = 438,846.19 × 438,846.19
  4. Step 4: Simplify right side
    310,052.81x = 192,585,976,283.29
  5. Step 5: Solve for x
    x = 192,585,976,283.29/310,052.81
  6. Step 6: Final answer
    x = 621,139.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.