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Finding the Third Proportional to 427,485.35 and 791,899.57

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Solution

The third proportional to 427,485.35 and 791,899.57 is: 1,466,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,485.35 : 791,899.57 = 791,899.57 : x
  2. Step 2: Convert to fraction form
    427,485.35/791,899.57 = 791,899.57/x
  3. Step 3: Cross multiply
    427,485.35x = 791,899.57 × 791,899.57
  4. Step 4: Simplify right side
    427,485.35x = 627,104,921,340.98
  5. Step 5: Solve for x
    x = 627,104,921,340.98/427,485.35
  6. Step 6: Final answer
    x = 1,466,962.37

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.