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Finding the Third Proportional to 322,551.28 and 512,428.78

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Solution

The third proportional to 322,551.28 and 512,428.78 is: 814,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,551.28 : 512,428.78 = 512,428.78 : x
  2. Step 2: Convert to fraction form
    322,551.28/512,428.78 = 512,428.78/x
  3. Step 3: Cross multiply
    322,551.28x = 512,428.78 × 512,428.78
  4. Step 4: Simplify right side
    322,551.28x = 262,583,255,853.36
  5. Step 5: Solve for x
    x = 262,583,255,853.36/322,551.28
  6. Step 6: Final answer
    x = 814,082.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.