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Finding the Third Proportional to 431,140.50 and 906,939

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Solution

The third proportional to 431,140.50 and 906,939 is: 1,907,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,140.50 : 906,939 = 906,939 : x
  2. Step 2: Convert to fraction form
    431,140.50/906,939 = 906,939/x
  3. Step 3: Cross multiply
    431,140.50x = 906,939 × 906,939
  4. Step 4: Simplify right side
    431,140.50x = 822,538,349,721
  5. Step 5: Solve for x
    x = 822,538,349,721/431,140.50
  6. Step 6: Final answer
    x = 1,907,819.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.