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Finding the Third Proportional to 514,921 and 1,121,380

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Solution

The third proportional to 514,921 and 1,121,380 is: 2,442,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,921 : 1,121,380 = 1,121,380 : x
  2. Step 2: Convert to fraction form
    514,921/1,121,380 = 1,121,380/x
  3. Step 3: Cross multiply
    514,921x = 1,121,380 × 1,121,380
  4. Step 4: Simplify right side
    514,921x = 1,257,493,104,400
  5. Step 5: Solve for x
    x = 1,257,493,104,400/514,921
  6. Step 6: Final answer
    x = 2,442,108.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.