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Finding the Third Proportional to 408,278.25 and 612,824.63

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Solution

The third proportional to 408,278.25 and 612,824.63 is: 919,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,278.25 : 612,824.63 = 612,824.63 : x
  2. Step 2: Convert to fraction form
    408,278.25/612,824.63 = 612,824.63/x
  3. Step 3: Cross multiply
    408,278.25x = 612,824.63 × 612,824.63
  4. Step 4: Simplify right side
    408,278.25x = 375,554,021,006.39
  5. Step 5: Solve for x
    x = 375,554,021,006.39/408,278.25
  6. Step 6: Final answer
    x = 919,848.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.