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Finding the Third Proportional to 920,400 and 1,977,420

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Solution

The third proportional to 920,400 and 1,977,420 is: 4,248,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,400 : 1,977,420 = 1,977,420 : x
  2. Step 2: Convert to fraction form
    920,400/1,977,420 = 1,977,420/x
  3. Step 3: Cross multiply
    920,400x = 1,977,420 × 1,977,420
  4. Step 4: Simplify right side
    920,400x = 3,910,189,856,400
  5. Step 5: Solve for x
    x = 3,910,189,856,400/920,400
  6. Step 6: Final answer
    x = 4,248,359.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.