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Finding the Third Proportional to 408,060 and 643,391

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Solution

The third proportional to 408,060 and 643,391 is: 1,014,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,060 : 643,391 = 643,391 : x
  2. Step 2: Convert to fraction form
    408,060/643,391 = 643,391/x
  3. Step 3: Cross multiply
    408,060x = 643,391 × 643,391
  4. Step 4: Simplify right side
    408,060x = 413,951,978,881
  5. Step 5: Solve for x
    x = 413,951,978,881/408,060
  6. Step 6: Final answer
    x = 1,014,439.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.