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Finding the Third Proportional to 236,454 and 514,380

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Solution

The third proportional to 236,454 and 514,380 is: 1,118,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,454 : 514,380 = 514,380 : x
  2. Step 2: Convert to fraction form
    236,454/514,380 = 514,380/x
  3. Step 3: Cross multiply
    236,454x = 514,380 × 514,380
  4. Step 4: Simplify right side
    236,454x = 264,586,784,400
  5. Step 5: Solve for x
    x = 264,586,784,400/236,454
  6. Step 6: Final answer
    x = 1,118,977.83

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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.