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Finding the Third Proportional to 427,072 and 643,400

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Solution

The third proportional to 427,072 and 643,400 is: 969,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,072 : 643,400 = 643,400 : x
  2. Step 2: Convert to fraction form
    427,072/643,400 = 643,400/x
  3. Step 3: Cross multiply
    427,072x = 643,400 × 643,400
  4. Step 4: Simplify right side
    427,072x = 413,963,560,000
  5. Step 5: Solve for x
    x = 413,963,560,000/427,072
  6. Step 6: Final answer
    x = 969,306.25

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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.