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Finding the Third Proportional to 432,111 and 622,472

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Solution

The third proportional to 432,111 and 622,472 is: 896,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,111 : 622,472 = 622,472 : x
  2. Step 2: Convert to fraction form
    432,111/622,472 = 622,472/x
  3. Step 3: Cross multiply
    432,111x = 622,472 × 622,472
  4. Step 4: Simplify right side
    432,111x = 387,471,390,784
  5. Step 5: Solve for x
    x = 387,471,390,784/432,111
  6. Step 6: Final answer
    x = 896,694.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.