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Finding the Third Proportional to 647,362.50 and 980,040.75

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Solution

The third proportional to 647,362.50 and 980,040.75 is: 1,483,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,362.50 : 980,040.75 = 980,040.75 : x
  2. Step 2: Convert to fraction form
    647,362.50/980,040.75 = 980,040.75/x
  3. Step 3: Cross multiply
    647,362.50x = 980,040.75 × 980,040.75
  4. Step 4: Simplify right side
    647,362.50x = 960,479,871,660.56
  5. Step 5: Solve for x
    x = 960,479,871,660.56/647,362.50
  6. Step 6: Final answer
    x = 1,483,681.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.