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Finding the Third Proportional to 420,047 and 633,108

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Solution

The third proportional to 420,047 and 633,108 is: 954,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,047 : 633,108 = 633,108 : x
  2. Step 2: Convert to fraction form
    420,047/633,108 = 633,108/x
  3. Step 3: Cross multiply
    420,047x = 633,108 × 633,108
  4. Step 4: Simplify right side
    420,047x = 400,825,739,664
  5. Step 5: Solve for x
    x = 400,825,739,664/420,047
  6. Step 6: Final answer
    x = 954,240.22

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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.