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Finding the Third Proportional to 431,015 and 649,803

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Solution

The third proportional to 431,015 and 649,803 is: 979,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,015 : 649,803 = 649,803 : x
  2. Step 2: Convert to fraction form
    431,015/649,803 = 649,803/x
  3. Step 3: Cross multiply
    431,015x = 649,803 × 649,803
  4. Step 4: Simplify right side
    431,015x = 422,243,938,809
  5. Step 5: Solve for x
    x = 422,243,938,809/431,015
  6. Step 6: Final answer
    x = 979,650.22

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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.