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Finding the Third Proportional to 413,576 and 623,820

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Solution

The third proportional to 413,576 and 623,820 is: 940,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,576 : 623,820 = 623,820 : x
  2. Step 2: Convert to fraction form
    413,576/623,820 = 623,820/x
  3. Step 3: Cross multiply
    413,576x = 623,820 × 623,820
  4. Step 4: Simplify right side
    413,576x = 389,151,392,400
  5. Step 5: Solve for x
    x = 389,151,392,400/413,576
  6. Step 6: Final answer
    x = 940,942.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.