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Finding the Third Proportional to 402,232 and 623,215

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Solution

The third proportional to 402,232 and 623,215 is: 965,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,232 : 623,215 = 623,215 : x
  2. Step 2: Convert to fraction form
    402,232/623,215 = 623,215/x
  3. Step 3: Cross multiply
    402,232x = 623,215 × 623,215
  4. Step 4: Simplify right side
    402,232x = 388,396,936,225
  5. Step 5: Solve for x
    x = 388,396,936,225/402,232
  6. Step 6: Final answer
    x = 965,604.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.