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Finding the Third Proportional to 413,572 and 623,814

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Solution

The third proportional to 413,572 and 623,814 is: 940,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,572 : 623,814 = 623,814 : x
  2. Step 2: Convert to fraction form
    413,572/623,814 = 623,814/x
  3. Step 3: Cross multiply
    413,572x = 623,814 × 623,814
  4. Step 4: Simplify right side
    413,572x = 389,143,906,596
  5. Step 5: Solve for x
    x = 389,143,906,596/413,572
  6. Step 6: Final answer
    x = 940,933.88

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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.