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Finding the Third Proportional to 408,987 and 624,552.75

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Solution

The third proportional to 408,987 and 624,552.75 is: 953,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,987 : 624,552.75 = 624,552.75 : x
  2. Step 2: Convert to fraction form
    408,987/624,552.75 = 624,552.75/x
  3. Step 3: Cross multiply
    408,987x = 624,552.75 × 624,552.75
  4. Step 4: Simplify right side
    408,987x = 390,066,137,532.56
  5. Step 5: Solve for x
    x = 390,066,137,532.56/408,987
  6. Step 6: Final answer
    x = 953,737.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.