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Finding the Third Proportional to 583,128 and 1,280,400

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Solution

The third proportional to 583,128 and 1,280,400 is: 2,811,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,128 : 1,280,400 = 1,280,400 : x
  2. Step 2: Convert to fraction form
    583,128/1,280,400 = 1,280,400/x
  3. Step 3: Cross multiply
    583,128x = 1,280,400 × 1,280,400
  4. Step 4: Simplify right side
    583,128x = 1,639,424,160,000
  5. Step 5: Solve for x
    x = 1,639,424,160,000/583,128
  6. Step 6: Final answer
    x = 2,811,431.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.