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Finding the Third Proportional to 285,903.75 and 419,304.56

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Solution

The third proportional to 285,903.75 and 419,304.56 is: 614,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,903.75 : 419,304.56 = 419,304.56 : x
  2. Step 2: Convert to fraction form
    285,903.75/419,304.56 = 419,304.56/x
  3. Step 3: Cross multiply
    285,903.75x = 419,304.56 × 419,304.56
  4. Step 4: Simplify right side
    285,903.75x = 175,816,316,133.32
  5. Step 5: Solve for x
    x = 175,816,316,133.32/285,903.75
  6. Step 6: Final answer
    x = 614,949.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.