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Finding the Third Proportional to 230,928 and 514,320

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Solution

The third proportional to 230,928 and 514,320 is: 1,145,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,928 : 514,320 = 514,320 : x
  2. Step 2: Convert to fraction form
    230,928/514,320 = 514,320/x
  3. Step 3: Cross multiply
    230,928x = 514,320 × 514,320
  4. Step 4: Simplify right side
    230,928x = 264,525,062,400
  5. Step 5: Solve for x
    x = 264,525,062,400/230,928
  6. Step 6: Final answer
    x = 1,145,487.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.