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Finding the Third Proportional to 397,298.25 and 862,323.75

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Solution

The third proportional to 397,298.25 and 862,323.75 is: 1,871,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,298.25 : 862,323.75 = 862,323.75 : x
  2. Step 2: Convert to fraction form
    397,298.25/862,323.75 = 862,323.75/x
  3. Step 3: Cross multiply
    397,298.25x = 862,323.75 × 862,323.75
  4. Step 4: Simplify right side
    397,298.25x = 743,602,249,814.06
  5. Step 5: Solve for x
    x = 743,602,249,814.06/397,298.25
  6. Step 6: Final answer
    x = 1,871,647.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.