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Finding the Third Proportional to 420,824.25 and 896,618.25

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Solution

The third proportional to 420,824.25 and 896,618.25 is: 1,910,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,824.25 : 896,618.25 = 896,618.25 : x
  2. Step 2: Convert to fraction form
    420,824.25/896,618.25 = 896,618.25/x
  3. Step 3: Cross multiply
    420,824.25x = 896,618.25 × 896,618.25
  4. Step 4: Simplify right side
    420,824.25x = 803,924,286,233.06
  5. Step 5: Solve for x
    x = 803,924,286,233.06/420,824.25
  6. Step 6: Final answer
    x = 1,910,356.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.