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Finding the Third Proportional to 431,476.50 and 940,821

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Solution

The third proportional to 431,476.50 and 940,821 is: 2,051,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,476.50 : 940,821 = 940,821 : x
  2. Step 2: Convert to fraction form
    431,476.50/940,821 = 940,821/x
  3. Step 3: Cross multiply
    431,476.50x = 940,821 × 940,821
  4. Step 4: Simplify right side
    431,476.50x = 885,144,154,041
  5. Step 5: Solve for x
    x = 885,144,154,041/431,476.50
  6. Step 6: Final answer
    x = 2,051,430.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.