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Finding the Third Proportional to 431,518.50 and 676,923

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Solution

The third proportional to 431,518.50 and 676,923 is: 1,061,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,518.50 : 676,923 = 676,923 : x
  2. Step 2: Convert to fraction form
    431,518.50/676,923 = 676,923/x
  3. Step 3: Cross multiply
    431,518.50x = 676,923 × 676,923
  4. Step 4: Simplify right side
    431,518.50x = 458,224,747,929
  5. Step 5: Solve for x
    x = 458,224,747,929/431,518.50
  6. Step 6: Final answer
    x = 1,061,889.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.